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Finding the Fourth Proportional to 260.27, 359.15 and 149.72

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Solution

The fourth proportional to 260.27, 359.15 and 149.72 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.27 : 359.15 = 149.72 : x
  2. Step 2: Convert to fraction form
    260.27/359.15 = 149.72/x
  3. Step 3: Cross multiply
    260.27x = 359.15 × 149.72
  4. Step 4: Simplify right side
    260.27x = 53,772.26
  5. Step 5: Solve for x
    x = 53,772.26/260.27
  6. Step 6: Final answer
    x = 206.60

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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.