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Finding the Fourth Proportional to 260.42, 390.22 and 138.71

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Solution

The fourth proportional to 260.42, 390.22 and 138.71 is: 207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.42 : 390.22 = 138.71 : x
  2. Step 2: Convert to fraction form
    260.42/390.22 = 138.71/x
  3. Step 3: Cross multiply
    260.42x = 390.22 × 138.71
  4. Step 4: Simplify right side
    260.42x = 54,128.04
  5. Step 5: Solve for x
    x = 54,128.04/260.42
  6. Step 6: Final answer
    x = 207.85

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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.