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Finding the Fourth Proportional to 311.48, 467.28 and 116.45

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Solution

The fourth proportional to 311.48, 467.28 and 116.45 is: 174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.48 : 467.28 = 116.45 : x
  2. Step 2: Convert to fraction form
    311.48/467.28 = 116.45/x
  3. Step 3: Cross multiply
    311.48x = 467.28 × 116.45
  4. Step 4: Simplify right side
    311.48x = 54,414.76
  5. Step 5: Solve for x
    x = 54,414.76/311.48
  6. Step 6: Final answer
    x = 174.70

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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.