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Finding the Fourth Proportional to 174.11, 240.39 and 130.68

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Solution

The fourth proportional to 174.11, 240.39 and 130.68 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.11 : 240.39 = 130.68 : x
  2. Step 2: Convert to fraction form
    174.11/240.39 = 130.68/x
  3. Step 3: Cross multiply
    174.11x = 240.39 × 130.68
  4. Step 4: Simplify right side
    174.11x = 31,414.17
  5. Step 5: Solve for x
    x = 31,414.17/174.11
  6. Step 6: Final answer
    x = 180.43

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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.