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Finding the Fourth Proportional to 426.70, 640.07 and 138.14

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Solution

The fourth proportional to 426.70, 640.07 and 138.14 is: 207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.70 : 640.07 = 138.14 : x
  2. Step 2: Convert to fraction form
    426.70/640.07 = 138.14/x
  3. Step 3: Cross multiply
    426.70x = 640.07 × 138.14
  4. Step 4: Simplify right side
    426.70x = 88,419.27
  5. Step 5: Solve for x
    x = 88,419.27/426.70
  6. Step 6: Final answer
    x = 207.22

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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.