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Finding the Fourth Proportional to 285.46, 428.24 and 123.15

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Solution

The fourth proportional to 285.46, 428.24 and 123.15 is: 184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.46 : 428.24 = 123.15 : x
  2. Step 2: Convert to fraction form
    285.46/428.24 = 123.15/x
  3. Step 3: Cross multiply
    285.46x = 428.24 × 123.15
  4. Step 4: Simplify right side
    285.46x = 52,737.14
  5. Step 5: Solve for x
    x = 52,737.14/285.46
  6. Step 6: Final answer
    x = 184.74

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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.