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Finding the Fourth Proportional to 229.32, 343.80 and 107.76

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Solution

The fourth proportional to 229.32, 343.80 and 107.76 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.32 : 343.80 = 107.76 : x
  2. Step 2: Convert to fraction form
    229.32/343.80 = 107.76/x
  3. Step 3: Cross multiply
    229.32x = 343.80 × 107.76
  4. Step 4: Simplify right side
    229.32x = 37,047.89
  5. Step 5: Solve for x
    x = 37,047.89/229.32
  6. Step 6: Final answer
    x = 161.56

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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.