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Finding the Fourth Proportional to 260.28, 359.12 and 160.71

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Solution

The fourth proportional to 260.28, 359.12 and 160.71 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.28 : 359.12 = 160.71 : x
  2. Step 2: Convert to fraction form
    260.28/359.12 = 160.71/x
  3. Step 3: Cross multiply
    260.28x = 359.12 × 160.71
  4. Step 4: Simplify right side
    260.28x = 57,713.37
  5. Step 5: Solve for x
    x = 57,713.37/260.28
  6. Step 6: Final answer
    x = 221.74

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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.