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Finding the Fourth Proportional to 229.18, 343.08 and 178.42

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Solution

The fourth proportional to 229.18, 343.08 and 178.42 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 343.08 = 178.42 : x
  2. Step 2: Convert to fraction form
    229.18/343.08 = 178.42/x
  3. Step 3: Cross multiply
    229.18x = 343.08 × 178.42
  4. Step 4: Simplify right side
    229.18x = 61,212.33
  5. Step 5: Solve for x
    x = 61,212.33/229.18
  6. Step 6: Final answer
    x = 267.09

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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.