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Finding the Fourth Proportional to 229.18, 343.80 and 120.91

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Solution

The fourth proportional to 229.18, 343.80 and 120.91 is: 181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 343.80 = 120.91 : x
  2. Step 2: Convert to fraction form
    229.18/343.80 = 120.91/x
  3. Step 3: Cross multiply
    229.18x = 343.80 × 120.91
  4. Step 4: Simplify right side
    229.18x = 41,568.86
  5. Step 5: Solve for x
    x = 41,568.86/229.18
  6. Step 6: Final answer
    x = 181.38

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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.