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Finding the Fourth Proportional to 229.10, 343.19 and 120.66

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Solution

The fourth proportional to 229.10, 343.19 and 120.66 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.10 : 343.19 = 120.66 : x
  2. Step 2: Convert to fraction form
    229.10/343.19 = 120.66/x
  3. Step 3: Cross multiply
    229.10x = 343.19 × 120.66
  4. Step 4: Simplify right side
    229.10x = 41,408.70
  5. Step 5: Solve for x
    x = 41,408.70/229.10
  6. Step 6: Final answer
    x = 180.75

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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.