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Finding the Fourth Proportional to 285.93, 429.11 and 123.73

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Solution

The fourth proportional to 285.93, 429.11 and 123.73 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.93 : 429.11 = 123.73 : x
  2. Step 2: Convert to fraction form
    285.93/429.11 = 123.73/x
  3. Step 3: Cross multiply
    285.93x = 429.11 × 123.73
  4. Step 4: Simplify right side
    285.93x = 53,093.78
  5. Step 5: Solve for x
    x = 53,093.78/285.93
  6. Step 6: Final answer
    x = 185.69

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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.