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Finding the Fourth Proportional to 198.80, 274.02 and 152.12

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Solution

The fourth proportional to 198.80, 274.02 and 152.12 is: 209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 274.02 = 152.12 : x
  2. Step 2: Convert to fraction form
    198.80/274.02 = 152.12/x
  3. Step 3: Cross multiply
    198.80x = 274.02 × 152.12
  4. Step 4: Simplify right side
    198.80x = 41,683.92
  5. Step 5: Solve for x
    x = 41,683.92/198.80
  6. Step 6: Final answer
    x = 209.68

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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.