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Finding the Fourth Proportional to 199.72, 275.38 and 128.73

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Solution

The fourth proportional to 199.72, 275.38 and 128.73 is: 177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.72 : 275.38 = 128.73 : x
  2. Step 2: Convert to fraction form
    199.72/275.38 = 128.73/x
  3. Step 3: Cross multiply
    199.72x = 275.38 × 128.73
  4. Step 4: Simplify right side
    199.72x = 35,449.67
  5. Step 5: Solve for x
    x = 35,449.67/199.72
  6. Step 6: Final answer
    x = 177.50

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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.