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Finding the Fourth Proportional to 229.23, 343.17 and 178.11

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Solution

The fourth proportional to 229.23, 343.17 and 178.11 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 343.17 = 178.11 : x
  2. Step 2: Convert to fraction form
    229.23/343.17 = 178.11/x
  3. Step 3: Cross multiply
    229.23x = 343.17 × 178.11
  4. Step 4: Simplify right side
    229.23x = 61,122.01
  5. Step 5: Solve for x
    x = 61,122.01/229.23
  6. Step 6: Final answer
    x = 266.64

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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.