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Finding the Fourth Proportional to 174.14, 240.33 and 137.24

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Solution

The fourth proportional to 174.14, 240.33 and 137.24 is: 189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.14 : 240.33 = 137.24 : x
  2. Step 2: Convert to fraction form
    174.14/240.33 = 137.24/x
  3. Step 3: Cross multiply
    174.14x = 240.33 × 137.24
  4. Step 4: Simplify right side
    174.14x = 32,983.49
  5. Step 5: Solve for x
    x = 32,983.49/174.14
  6. Step 6: Final answer
    x = 189.41

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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.