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Finding the Fourth Proportional to 412.35, 618.60 and 138.42

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Solution

The fourth proportional to 412.35, 618.60 and 138.42 is: 207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 618.60 = 138.42 : x
  2. Step 2: Convert to fraction form
    412.35/618.60 = 138.42/x
  3. Step 3: Cross multiply
    412.35x = 618.60 × 138.42
  4. Step 4: Simplify right side
    412.35x = 85,626.61
  5. Step 5: Solve for x
    x = 85,626.61/412.35
  6. Step 6: Final answer
    x = 207.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.