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Finding the Fourth Proportional to 175.20, 241.66 and 107.87

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Solution

The fourth proportional to 175.20, 241.66 and 107.87 is: 148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 241.66 = 107.87 : x
  2. Step 2: Convert to fraction form
    175.20/241.66 = 107.87/x
  3. Step 3: Cross multiply
    175.20x = 241.66 × 107.87
  4. Step 4: Simplify right side
    175.20x = 26,067.86
  5. Step 5: Solve for x
    x = 26,067.86/175.20
  6. Step 6: Final answer
    x = 148.79

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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.