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Finding the Fourth Proportional to 311.76, 430.24 and 171.89

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Solution

The fourth proportional to 311.76, 430.24 and 171.89 is: 237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 430.24 = 171.89 : x
  2. Step 2: Convert to fraction form
    311.76/430.24 = 171.89/x
  3. Step 3: Cross multiply
    311.76x = 430.24 × 171.89
  4. Step 4: Simplify right side
    311.76x = 73,951.37
  5. Step 5: Solve for x
    x = 73,951.37/311.76
  6. Step 6: Final answer
    x = 237.21

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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.