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Finding the Fourth Proportional to 257.85, 387.03 and 229.14

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Solution

The fourth proportional to 257.85, 387.03 and 229.14 is: 343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 387.03 = 229.14 : x
  2. Step 2: Convert to fraction form
    257.85/387.03 = 229.14/x
  3. Step 3: Cross multiply
    257.85x = 387.03 × 229.14
  4. Step 4: Simplify right side
    257.85x = 88,684.05
  5. Step 5: Solve for x
    x = 88,684.05/257.85
  6. Step 6: Final answer
    x = 343.94

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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.