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Finding the Fourth Proportional to 229.29, 343.36 and 120.84

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Solution

The fourth proportional to 229.29, 343.36 and 120.84 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.29 : 343.36 = 120.84 : x
  2. Step 2: Convert to fraction form
    229.29/343.36 = 120.84/x
  3. Step 3: Cross multiply
    229.29x = 343.36 × 120.84
  4. Step 4: Simplify right side
    229.29x = 41,491.62
  5. Step 5: Solve for x
    x = 41,491.62/229.29
  6. Step 6: Final answer
    x = 180.96

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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.