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Finding the Fourth Proportional to 199.97, 300.00 and 55.69

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Solution

The fourth proportional to 199.97, 300.00 and 55.69 is: 83.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 300.00 = 55.69 : x
  2. Step 2: Convert to fraction form
    199.97/300.00 = 55.69/x
  3. Step 3: Cross multiply
    199.97x = 300.00 × 55.69
  4. Step 4: Simplify right side
    199.97x = 16,706.46
  5. Step 5: Solve for x
    x = 16,706.46/199.97
  6. Step 6: Final answer
    x = 83.55

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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.