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Finding the Fourth Proportional to 174.20, 240.42 and 107.84

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Solution

The fourth proportional to 174.20, 240.42 and 107.84 is: 148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.20 : 240.42 = 107.84 : x
  2. Step 2: Convert to fraction form
    174.20/240.42 = 107.84/x
  3. Step 3: Cross multiply
    174.20x = 240.42 × 107.84
  4. Step 4: Simplify right side
    174.20x = 25,926.89
  5. Step 5: Solve for x
    x = 25,926.89/174.20
  6. Step 6: Final answer
    x = 148.83

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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.