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Finding the Fourth Proportional to 199.75, 275.67 and 112.42

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Solution

The fourth proportional to 199.75, 275.67 and 112.42 is: 155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.75 : 275.67 = 112.42 : x
  2. Step 2: Convert to fraction form
    199.75/275.67 = 112.42/x
  3. Step 3: Cross multiply
    199.75x = 275.67 × 112.42
  4. Step 4: Simplify right side
    199.75x = 30,990.82
  5. Step 5: Solve for x
    x = 30,990.82/199.75
  6. Step 6: Final answer
    x = 155.15

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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.