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Finding the Fourth Proportional to 229.60, 342.97 and 221.50

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Solution

The fourth proportional to 229.60, 342.97 and 221.50 is: 330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.60 : 342.97 = 221.50 : x
  2. Step 2: Convert to fraction form
    229.60/342.97 = 221.50/x
  3. Step 3: Cross multiply
    229.60x = 342.97 × 221.50
  4. Step 4: Simplify right side
    229.60x = 75,965.03
  5. Step 5: Solve for x
    x = 75,965.03/229.60
  6. Step 6: Final answer
    x = 330.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.