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Finding the Fourth Proportional to 285.53, 428.34 and 123.11

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Solution

The fourth proportional to 285.53, 428.34 and 123.11 is: 184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.53 : 428.34 = 123.11 : x
  2. Step 2: Convert to fraction form
    285.53/428.34 = 123.11/x
  3. Step 3: Cross multiply
    285.53x = 428.34 × 123.11
  4. Step 4: Simplify right side
    285.53x = 52,732.94
  5. Step 5: Solve for x
    x = 52,732.94/285.53
  6. Step 6: Final answer
    x = 184.68

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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.