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Finding the Fourth Proportional to 199.81, 299.71 and 55.52

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Solution

The fourth proportional to 199.81, 299.71 and 55.52 is: 83.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.81 : 299.71 = 55.52 : x
  2. Step 2: Convert to fraction form
    199.81/299.71 = 55.52/x
  3. Step 3: Cross multiply
    199.81x = 299.71 × 55.52
  4. Step 4: Simplify right side
    199.81x = 16,639.90
  5. Step 5: Solve for x
    x = 16,639.90/199.81
  6. Step 6: Final answer
    x = 83.28

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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.