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Finding the Fourth Proportional to 197.40, 296.04 and 99.96

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Solution

The fourth proportional to 197.40, 296.04 and 99.96 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.40 : 296.04 = 99.96 : x
  2. Step 2: Convert to fraction form
    197.40/296.04 = 99.96/x
  3. Step 3: Cross multiply
    197.40x = 296.04 × 99.96
  4. Step 4: Simplify right side
    197.40x = 29,592.16
  5. Step 5: Solve for x
    x = 29,592.16/197.40
  6. Step 6: Final answer
    x = 149.91

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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.