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Finding the Fourth Proportional to 272.20, 408.42 and 118.34

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Solution

The fourth proportional to 272.20, 408.42 and 118.34 is: 177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.20 : 408.42 = 118.34 : x
  2. Step 2: Convert to fraction form
    272.20/408.42 = 118.34/x
  3. Step 3: Cross multiply
    272.20x = 408.42 × 118.34
  4. Step 4: Simplify right side
    272.20x = 48,332.42
  5. Step 5: Solve for x
    x = 48,332.42/272.20
  6. Step 6: Final answer
    x = 177.56

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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.