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Finding the Fourth Proportional to 412.06, 617.80 and 138.12

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Solution

The fourth proportional to 412.06, 617.80 and 138.12 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 617.80 = 138.12 : x
  2. Step 2: Convert to fraction form
    412.06/617.80 = 138.12/x
  3. Step 3: Cross multiply
    412.06x = 617.80 × 138.12
  4. Step 4: Simplify right side
    412.06x = 85,330.54
  5. Step 5: Solve for x
    x = 85,330.54/412.06
  6. Step 6: Final answer
    x = 207.08

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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.