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Finding the Fourth Proportional to 174.25, 240.32 and 108.71

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Solution

The fourth proportional to 174.25, 240.32 and 108.71 is: 149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.25 : 240.32 = 108.71 : x
  2. Step 2: Convert to fraction form
    174.25/240.32 = 108.71/x
  3. Step 3: Cross multiply
    174.25x = 240.32 × 108.71
  4. Step 4: Simplify right side
    174.25x = 26,125.19
  5. Step 5: Solve for x
    x = 26,125.19/174.25
  6. Step 6: Final answer
    x = 149.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.