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Finding the Fourth Proportional to 199.66, 275.42 and 129.60

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Solution

The fourth proportional to 199.66, 275.42 and 129.60 is: 178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.66 : 275.42 = 129.60 : x
  2. Step 2: Convert to fraction form
    199.66/275.42 = 129.60/x
  3. Step 3: Cross multiply
    199.66x = 275.42 × 129.60
  4. Step 4: Simplify right side
    199.66x = 35,694.43
  5. Step 5: Solve for x
    x = 35,694.43/199.66
  6. Step 6: Final answer
    x = 178.78

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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.