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Finding the Fourth Proportional to 197.34, 296.02 and 116.03

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Solution

The fourth proportional to 197.34, 296.02 and 116.03 is: 174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.34 : 296.02 = 116.03 : x
  2. Step 2: Convert to fraction form
    197.34/296.02 = 116.03/x
  3. Step 3: Cross multiply
    197.34x = 296.02 × 116.03
  4. Step 4: Simplify right side
    197.34x = 34,348.09
  5. Step 5: Solve for x
    x = 34,348.09/197.34
  6. Step 6: Final answer
    x = 174.06

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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.