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Finding the Fourth Proportional to 199.62, 299.40 and 84.17

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Solution

The fourth proportional to 199.62, 299.40 and 84.17 is: 126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.62 : 299.40 = 84.17 : x
  2. Step 2: Convert to fraction form
    199.62/299.40 = 84.17/x
  3. Step 3: Cross multiply
    199.62x = 299.40 × 84.17
  4. Step 4: Simplify right side
    199.62x = 25,200.93
  5. Step 5: Solve for x
    x = 25,200.93/199.62
  6. Step 6: Final answer
    x = 126.24

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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.