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Finding the Fourth Proportional to 285.98, 429.02 and 149.14

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Solution

The fourth proportional to 285.98, 429.02 and 149.14 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.98 : 429.02 = 149.14 : x
  2. Step 2: Convert to fraction form
    285.98/429.02 = 149.14/x
  3. Step 3: Cross multiply
    285.98x = 429.02 × 149.14
  4. Step 4: Simplify right side
    285.98x = 63,982.60
  5. Step 5: Solve for x
    x = 63,982.60/285.98
  6. Step 6: Final answer
    x = 223.73

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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.