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Finding the Fourth Proportional to 275.12, 412.03 and 138.16

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Solution

The fourth proportional to 275.12, 412.03 and 138.16 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 412.03 = 138.16 : x
  2. Step 2: Convert to fraction form
    275.12/412.03 = 138.16/x
  3. Step 3: Cross multiply
    275.12x = 412.03 × 138.16
  4. Step 4: Simplify right side
    275.12x = 56,926.06
  5. Step 5: Solve for x
    x = 56,926.06/275.12
  6. Step 6: Final answer
    x = 206.91

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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.