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Finding the Fourth Proportional to 174.62, 240.71 and 137.70

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Solution

The fourth proportional to 174.62, 240.71 and 137.70 is: 189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.62 : 240.71 = 137.70 : x
  2. Step 2: Convert to fraction form
    174.62/240.71 = 137.70/x
  3. Step 3: Cross multiply
    174.62x = 240.71 × 137.70
  4. Step 4: Simplify right side
    174.62x = 33,145.08
  5. Step 5: Solve for x
    x = 33,145.08/174.62
  6. Step 6: Final answer
    x = 189.82

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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.