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Finding the Fourth Proportional to 197.60, 296.13 and 146.27

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Solution

The fourth proportional to 197.60, 296.13 and 146.27 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 296.13 = 146.27 : x
  2. Step 2: Convert to fraction form
    197.60/296.13 = 146.27/x
  3. Step 3: Cross multiply
    197.60x = 296.13 × 146.27
  4. Step 4: Simplify right side
    197.60x = 43,314.94
  5. Step 5: Solve for x
    x = 43,314.94/197.60
  6. Step 6: Final answer
    x = 219.21

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Why These Related Problems?

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