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Finding the Fourth Proportional to 174.31, 240.50 and 108.80

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Solution

The fourth proportional to 174.31, 240.50 and 108.80 is: 150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.31 : 240.50 = 108.80 : x
  2. Step 2: Convert to fraction form
    174.31/240.50 = 108.80/x
  3. Step 3: Cross multiply
    174.31x = 240.50 × 108.80
  4. Step 4: Simplify right side
    174.31x = 26,166.40
  5. Step 5: Solve for x
    x = 26,166.40/174.31
  6. Step 6: Final answer
    x = 150.11

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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.