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Finding the Fourth Proportional to 229.14, 343.26 and 121.14

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Solution

The fourth proportional to 229.14, 343.26 and 121.14 is: 181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.14 : 343.26 = 121.14 : x
  2. Step 2: Convert to fraction form
    229.14/343.26 = 121.14/x
  3. Step 3: Cross multiply
    229.14x = 343.26 × 121.14
  4. Step 4: Simplify right side
    229.14x = 41,582.52
  5. Step 5: Solve for x
    x = 41,582.52/229.14
  6. Step 6: Final answer
    x = 181.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.