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Finding the Fourth Proportional to 260.27, 390.51 and 97.89

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Solution

The fourth proportional to 260.27, 390.51 and 97.89 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.27 : 390.51 = 97.89 : x
  2. Step 2: Convert to fraction form
    260.27/390.51 = 97.89/x
  3. Step 3: Cross multiply
    260.27x = 390.51 × 97.89
  4. Step 4: Simplify right side
    260.27x = 38,227.02
  5. Step 5: Solve for x
    x = 38,227.02/260.27
  6. Step 6: Final answer
    x = 146.88

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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.