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Finding the Fourth Proportional to 510.77, 766.14 and 164.13

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Solution

The fourth proportional to 510.77, 766.14 and 164.13 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.77 : 766.14 = 164.13 : x
  2. Step 2: Convert to fraction form
    510.77/766.14 = 164.13/x
  3. Step 3: Cross multiply
    510.77x = 766.14 × 164.13
  4. Step 4: Simplify right side
    510.77x = 125,750.46
  5. Step 5: Solve for x
    x = 125,750.46/510.77
  6. Step 6: Final answer
    x = 246.20

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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.