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Finding the Fourth Proportional to 198.97, 274.16 and 152.35

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Solution

The fourth proportional to 198.97, 274.16 and 152.35 is: 209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.97 : 274.16 = 152.35 : x
  2. Step 2: Convert to fraction form
    198.97/274.16 = 152.35/x
  3. Step 3: Cross multiply
    198.97x = 274.16 × 152.35
  4. Step 4: Simplify right side
    198.97x = 41,767.97
  5. Step 5: Solve for x
    x = 41,767.97/198.97
  6. Step 6: Final answer
    x = 209.92

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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.