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Finding the Fourth Proportional to 134.08, 200.82 and 118.76

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Solution

The fourth proportional to 134.08, 200.82 and 118.76 is: 177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.08 : 200.82 = 118.76 : x
  2. Step 2: Convert to fraction form
    134.08/200.82 = 118.76/x
  3. Step 3: Cross multiply
    134.08x = 200.82 × 118.76
  4. Step 4: Simplify right side
    134.08x = 23,849.38
  5. Step 5: Solve for x
    x = 23,849.38/134.08
  6. Step 6: Final answer
    x = 177.87

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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.