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Finding the Fourth Proportional to 318.72, 439.83 and 187.71

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Solution

The fourth proportional to 318.72, 439.83 and 187.71 is: 259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.72 : 439.83 = 187.71 : x
  2. Step 2: Convert to fraction form
    318.72/439.83 = 187.71/x
  3. Step 3: Cross multiply
    318.72x = 439.83 × 187.71
  4. Step 4: Simplify right side
    318.72x = 82,560.49
  5. Step 5: Solve for x
    x = 82,560.49/318.72
  6. Step 6: Final answer
    x = 259.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.