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Finding the Fourth Proportional to 199.49, 275.24 and 116.56

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Solution

The fourth proportional to 199.49, 275.24 and 116.56 is: 160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 275.24 = 116.56 : x
  2. Step 2: Convert to fraction form
    199.49/275.24 = 116.56/x
  3. Step 3: Cross multiply
    199.49x = 275.24 × 116.56
  4. Step 4: Simplify right side
    199.49x = 32,081.95
  5. Step 5: Solve for x
    x = 32,081.95/199.49
  6. Step 6: Final answer
    x = 160.82

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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.