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Finding the Fourth Proportional to 199.78, 275.75 and 116.92

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Solution

The fourth proportional to 199.78, 275.75 and 116.92 is: 161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.78 : 275.75 = 116.92 : x
  2. Step 2: Convert to fraction form
    199.78/275.75 = 116.92/x
  3. Step 3: Cross multiply
    199.78x = 275.75 × 116.92
  4. Step 4: Simplify right side
    199.78x = 32,240.69
  5. Step 5: Solve for x
    x = 32,240.69/199.78
  6. Step 6: Final answer
    x = 161.38

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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.