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Finding the Fourth Proportional to 199.33, 275.07 and 112

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Solution

The fourth proportional to 199.33, 275.07 and 112 is: 154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.33 : 275.07 = 112 : x
  2. Step 2: Convert to fraction form
    199.33/275.07 = 112/x
  3. Step 3: Cross multiply
    199.33x = 275.07 × 112
  4. Step 4: Simplify right side
    199.33x = 30,807.84
  5. Step 5: Solve for x
    x = 30,807.84/199.33
  6. Step 6: Final answer
    x = 154.56

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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.