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Finding the Fourth Proportional to 199.97, 299.67 and 88.65

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Solution

The fourth proportional to 199.97, 299.67 and 88.65 is: 132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 299.67 = 88.65 : x
  2. Step 2: Convert to fraction form
    199.97/299.67 = 88.65/x
  3. Step 3: Cross multiply
    199.97x = 299.67 × 88.65
  4. Step 4: Simplify right side
    199.97x = 26,565.75
  5. Step 5: Solve for x
    x = 26,565.75/199.97
  6. Step 6: Final answer
    x = 132.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.