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Finding the Fourth Proportional to 282, 423.24 and 173.88

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Solution

The fourth proportional to 282, 423.24 and 173.88 is: 260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 423.24 = 173.88 : x
  2. Step 2: Convert to fraction form
    282/423.24 = 173.88/x
  3. Step 3: Cross multiply
    282x = 423.24 × 173.88
  4. Step 4: Simplify right side
    282x = 73,592.97
  5. Step 5: Solve for x
    x = 73,592.97/282
  6. Step 6: Final answer
    x = 260.97

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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.