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Finding the Fourth Proportional to 229.02, 343.36 and 107.29

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Solution

The fourth proportional to 229.02, 343.36 and 107.29 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.02 : 343.36 = 107.29 : x
  2. Step 2: Convert to fraction form
    229.02/343.36 = 107.29/x
  3. Step 3: Cross multiply
    229.02x = 343.36 × 107.29
  4. Step 4: Simplify right side
    229.02x = 36,839.09
  5. Step 5: Solve for x
    x = 36,839.09/229.02
  6. Step 6: Final answer
    x = 160.86

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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.