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Finding the Fourth Proportional to 282.54, 423.85 and 99.90

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Solution

The fourth proportional to 282.54, 423.85 and 99.90 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.54 : 423.85 = 99.90 : x
  2. Step 2: Convert to fraction form
    282.54/423.85 = 99.90/x
  3. Step 3: Cross multiply
    282.54x = 423.85 × 99.90
  4. Step 4: Simplify right side
    282.54x = 42,342.12
  5. Step 5: Solve for x
    x = 42,342.12/282.54
  6. Step 6: Final answer
    x = 149.86

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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.