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Finding the Fourth Proportional to 174.56, 240.72 and 137.76

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Solution

The fourth proportional to 174.56, 240.72 and 137.76 is: 189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 240.72 = 137.76 : x
  2. Step 2: Convert to fraction form
    174.56/240.72 = 137.76/x
  3. Step 3: Cross multiply
    174.56x = 240.72 × 137.76
  4. Step 4: Simplify right side
    174.56x = 33,161.59
  5. Step 5: Solve for x
    x = 33,161.59/174.56
  6. Step 6: Final answer
    x = 189.97

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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.