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Finding the Fourth Proportional to 198.04, 297 and 76.28

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Solution

The fourth proportional to 198.04, 297 and 76.28 is: 114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.04 : 297 = 76.28 : x
  2. Step 2: Convert to fraction form
    198.04/297 = 76.28/x
  3. Step 3: Cross multiply
    198.04x = 297 × 76.28
  4. Step 4: Simplify right side
    198.04x = 22,655.16
  5. Step 5: Solve for x
    x = 22,655.16/198.04
  6. Step 6: Final answer
    x = 114.40

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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.