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Finding the Fourth Proportional to 199.62, 275.48 and 112.29

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Solution

The fourth proportional to 199.62, 275.48 and 112.29 is: 154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.62 : 275.48 = 112.29 : x
  2. Step 2: Convert to fraction form
    199.62/275.48 = 112.29/x
  3. Step 3: Cross multiply
    199.62x = 275.48 × 112.29
  4. Step 4: Simplify right side
    199.62x = 30,932.48
  5. Step 5: Solve for x
    x = 30,932.48/199.62
  6. Step 6: Final answer
    x = 154.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.