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Finding the Fourth Proportional to 260.97, 391.16 and 114.69

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Solution

The fourth proportional to 260.97, 391.16 and 114.69 is: 171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.97 : 391.16 = 114.69 : x
  2. Step 2: Convert to fraction form
    260.97/391.16 = 114.69/x
  3. Step 3: Cross multiply
    260.97x = 391.16 × 114.69
  4. Step 4: Simplify right side
    260.97x = 44,862.14
  5. Step 5: Solve for x
    x = 44,862.14/260.97
  6. Step 6: Final answer
    x = 171.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.