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Finding the Fourth Proportional to 311.40, 467.24 and 128.76

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Solution

The fourth proportional to 311.40, 467.24 and 128.76 is: 193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.40 : 467.24 = 128.76 : x
  2. Step 2: Convert to fraction form
    311.40/467.24 = 128.76/x
  3. Step 3: Cross multiply
    311.40x = 467.24 × 128.76
  4. Step 4: Simplify right side
    311.40x = 60,161.18
  5. Step 5: Solve for x
    x = 60,161.18/311.40
  6. Step 6: Final answer
    x = 193.20

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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.