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Finding the Fourth Proportional to 282.74, 424.14 and 100.13

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Solution

The fourth proportional to 282.74, 424.14 and 100.13 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.74 : 424.14 = 100.13 : x
  2. Step 2: Convert to fraction form
    282.74/424.14 = 100.13/x
  3. Step 3: Cross multiply
    282.74x = 424.14 × 100.13
  4. Step 4: Simplify right side
    282.74x = 42,470.57
  5. Step 5: Solve for x
    x = 42,470.57/282.74
  6. Step 6: Final answer
    x = 150.21

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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.