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Finding the Fourth Proportional to 229.20, 342.48 and 219.60

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Solution

The fourth proportional to 229.20, 342.48 and 219.60 is: 328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 342.48 = 219.60 : x
  2. Step 2: Convert to fraction form
    229.20/342.48 = 219.60/x
  3. Step 3: Cross multiply
    229.20x = 342.48 × 219.60
  4. Step 4: Simplify right side
    229.20x = 75,208.61
  5. Step 5: Solve for x
    x = 75,208.61/229.20
  6. Step 6: Final answer
    x = 328.14

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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.