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Finding the Fourth Proportional to 198.88, 274.31 and 152.14

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Solution

The fourth proportional to 198.88, 274.31 and 152.14 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 274.31 = 152.14 : x
  2. Step 2: Convert to fraction form
    198.88/274.31 = 152.14/x
  3. Step 3: Cross multiply
    198.88x = 274.31 × 152.14
  4. Step 4: Simplify right side
    198.88x = 41,733.52
  5. Step 5: Solve for x
    x = 41,733.52/198.88
  6. Step 6: Final answer
    x = 209.84

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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.