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Finding the Fourth Proportional to 174.86, 241.07 and 125.65

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Solution

The fourth proportional to 174.86, 241.07 and 125.65 is: 173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.86 : 241.07 = 125.65 : x
  2. Step 2: Convert to fraction form
    174.86/241.07 = 125.65/x
  3. Step 3: Cross multiply
    174.86x = 241.07 × 125.65
  4. Step 4: Simplify right side
    174.86x = 30,290.45
  5. Step 5: Solve for x
    x = 30,290.45/174.86
  6. Step 6: Final answer
    x = 173.23

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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.