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Finding the Fourth Proportional to 198.02, 297 and 53.75

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Solution

The fourth proportional to 198.02, 297 and 53.75 is: 80.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 297 = 53.75 : x
  2. Step 2: Convert to fraction form
    198.02/297 = 53.75/x
  3. Step 3: Cross multiply
    198.02x = 297 × 53.75
  4. Step 4: Simplify right side
    198.02x = 15,964.49
  5. Step 5: Solve for x
    x = 15,964.49/198.02
  6. Step 6: Final answer
    x = 80.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.