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Finding the Fourth Proportional to 510.74, 766.20 and 164.11

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Solution

The fourth proportional to 510.74, 766.20 and 164.11 is: 246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 766.20 = 164.11 : x
  2. Step 2: Convert to fraction form
    510.74/766.20 = 164.11/x
  3. Step 3: Cross multiply
    510.74x = 766.20 × 164.11
  4. Step 4: Simplify right side
    510.74x = 125,737.25
  5. Step 5: Solve for x
    x = 125,737.25/510.74
  6. Step 6: Final answer
    x = 246.19

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.