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Finding the Fourth Proportional to 240.71, 360.84 and 86.53

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Solution

The fourth proportional to 240.71, 360.84 and 86.53 is: 129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.71 : 360.84 = 86.53 : x
  2. Step 2: Convert to fraction form
    240.71/360.84 = 86.53/x
  3. Step 3: Cross multiply
    240.71x = 360.84 × 86.53
  4. Step 4: Simplify right side
    240.71x = 31,223.49
  5. Step 5: Solve for x
    x = 31,223.49/240.71
  6. Step 6: Final answer
    x = 129.71

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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.