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Finding the Fourth Proportional to 285.87, 429.03 and 149.03

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Solution

The fourth proportional to 285.87, 429.03 and 149.03 is: 223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.87 : 429.03 = 149.03 : x
  2. Step 2: Convert to fraction form
    285.87/429.03 = 149.03/x
  3. Step 3: Cross multiply
    285.87x = 429.03 × 149.03
  4. Step 4: Simplify right side
    285.87x = 63,938.34
  5. Step 5: Solve for x
    x = 63,938.34/285.87
  6. Step 6: Final answer
    x = 223.66

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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.