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Finding the Fourth Proportional to 221.80, 332.70 and 197.53

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Solution

The fourth proportional to 221.80, 332.70 and 197.53 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.80 : 332.70 = 197.53 : x
  2. Step 2: Convert to fraction form
    221.80/332.70 = 197.53/x
  3. Step 3: Cross multiply
    221.80x = 332.70 × 197.53
  4. Step 4: Simplify right side
    221.80x = 65,718.23
  5. Step 5: Solve for x
    x = 65,718.23/221.80
  6. Step 6: Final answer
    x = 296.30

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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.