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Finding the Fourth Proportional to 311.80, 430.24 and 193.76

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Solution

The fourth proportional to 311.80, 430.24 and 193.76 is: 267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.80 : 430.24 = 193.76 : x
  2. Step 2: Convert to fraction form
    311.80/430.24 = 193.76/x
  3. Step 3: Cross multiply
    311.80x = 430.24 × 193.76
  4. Step 4: Simplify right side
    311.80x = 83,363.30
  5. Step 5: Solve for x
    x = 83,363.30/311.80
  6. Step 6: Final answer
    x = 267.36

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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.