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Finding the Fourth Proportional to 197.38, 296.70 and 183.10

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Solution

The fourth proportional to 197.38, 296.70 and 183.10 is: 275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.38 : 296.70 = 183.10 : x
  2. Step 2: Convert to fraction form
    197.38/296.70 = 183.10/x
  3. Step 3: Cross multiply
    197.38x = 296.70 × 183.10
  4. Step 4: Simplify right side
    197.38x = 54,325.77
  5. Step 5: Solve for x
    x = 54,325.77/197.38
  6. Step 6: Final answer
    x = 275.23

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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.