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Finding the Fourth Proportional to 229.42, 346.16 and 219.43

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Solution

The fourth proportional to 229.42, 346.16 and 219.43 is: 331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 346.16 = 219.43 : x
  2. Step 2: Convert to fraction form
    229.42/346.16 = 219.43/x
  3. Step 3: Cross multiply
    229.42x = 346.16 × 219.43
  4. Step 4: Simplify right side
    229.42x = 75,957.89
  5. Step 5: Solve for x
    x = 75,957.89/229.42
  6. Step 6: Final answer
    x = 331.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.