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Finding the Fourth Proportional to 198.54, 297.84 and 117.24

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Solution

The fourth proportional to 198.54, 297.84 and 117.24 is: 175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 297.84 = 117.24 : x
  2. Step 2: Convert to fraction form
    198.54/297.84 = 117.24/x
  3. Step 3: Cross multiply
    198.54x = 297.84 × 117.24
  4. Step 4: Simplify right side
    198.54x = 34,918.76
  5. Step 5: Solve for x
    x = 34,918.76/198.54
  6. Step 6: Final answer
    x = 175.88

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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.