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Finding the Fourth Proportional to 282.56, 424 and 90.24

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Solution

The fourth proportional to 282.56, 424 and 90.24 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 424 = 90.24 : x
  2. Step 2: Convert to fraction form
    282.56/424 = 90.24/x
  3. Step 3: Cross multiply
    282.56x = 424 × 90.24
  4. Step 4: Simplify right side
    282.56x = 38,261.76
  5. Step 5: Solve for x
    x = 38,261.76/282.56
  6. Step 6: Final answer
    x = 135.41

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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.