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Finding the Fourth Proportional to 275.12, 412.32 and 138.20

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Solution

The fourth proportional to 275.12, 412.32 and 138.20 is: 207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 412.32 = 138.20 : x
  2. Step 2: Convert to fraction form
    275.12/412.32 = 138.20/x
  3. Step 3: Cross multiply
    275.12x = 412.32 × 138.20
  4. Step 4: Simplify right side
    275.12x = 56,982.62
  5. Step 5: Solve for x
    x = 56,982.62/275.12
  6. Step 6: Final answer
    x = 207.12

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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.