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Finding the Fourth Proportional to 174.77, 241.12 and 115.84

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Solution

The fourth proportional to 174.77, 241.12 and 115.84 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.77 : 241.12 = 115.84 : x
  2. Step 2: Convert to fraction form
    174.77/241.12 = 115.84/x
  3. Step 3: Cross multiply
    174.77x = 241.12 × 115.84
  4. Step 4: Simplify right side
    174.77x = 27,932.04
  5. Step 5: Solve for x
    x = 27,932.04/174.77
  6. Step 6: Final answer
    x = 159.82

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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.