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Finding the Fourth Proportional to 229.24, 343.74 and 197.32

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Solution

The fourth proportional to 229.24, 343.74 and 197.32 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.24 : 343.74 = 197.32 : x
  2. Step 2: Convert to fraction form
    229.24/343.74 = 197.32/x
  3. Step 3: Cross multiply
    229.24x = 343.74 × 197.32
  4. Step 4: Simplify right side
    229.24x = 67,826.78
  5. Step 5: Solve for x
    x = 67,826.78/229.24
  6. Step 6: Final answer
    x = 295.88

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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.