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Finding the Fourth Proportional to 198.30, 297.50 and 61.35

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Solution

The fourth proportional to 198.30, 297.50 and 61.35 is: 92.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 297.50 = 61.35 : x
  2. Step 2: Convert to fraction form
    198.30/297.50 = 61.35/x
  3. Step 3: Cross multiply
    198.30x = 297.50 × 61.35
  4. Step 4: Simplify right side
    198.30x = 18,251.32
  5. Step 5: Solve for x
    x = 18,251.32/198.30
  6. Step 6: Final answer
    x = 92.04

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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.