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Finding the Fourth Proportional to 229.38, 343.98 and 148.08

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Solution

The fourth proportional to 229.38, 343.98 and 148.08 is: 222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 343.98 = 148.08 : x
  2. Step 2: Convert to fraction form
    229.38/343.98 = 148.08/x
  3. Step 3: Cross multiply
    229.38x = 343.98 × 148.08
  4. Step 4: Simplify right side
    229.38x = 50,936.56
  5. Step 5: Solve for x
    x = 50,936.56/229.38
  6. Step 6: Final answer
    x = 222.06

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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.