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Finding the Fourth Proportional to 282.25, 423.47 and 89.88

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Solution

The fourth proportional to 282.25, 423.47 and 89.88 is: 134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.25 : 423.47 = 89.88 : x
  2. Step 2: Convert to fraction form
    282.25/423.47 = 89.88/x
  3. Step 3: Cross multiply
    282.25x = 423.47 × 89.88
  4. Step 4: Simplify right side
    282.25x = 38,061.48
  5. Step 5: Solve for x
    x = 38,061.48/282.25
  6. Step 6: Final answer
    x = 134.85

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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.