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Finding the Fourth Proportional to 510.71, 766.16 and 186.10

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Solution

The fourth proportional to 510.71, 766.16 and 186.10 is: 279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 766.16 = 186.10 : x
  2. Step 2: Convert to fraction form
    510.71/766.16 = 186.10/x
  3. Step 3: Cross multiply
    510.71x = 766.16 × 186.10
  4. Step 4: Simplify right side
    510.71x = 142,580.23
  5. Step 5: Solve for x
    x = 142,580.23/510.71
  6. Step 6: Final answer
    x = 279.18

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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.