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Finding the Fourth Proportional to 343.38, 474.18 and 227

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Solution

The fourth proportional to 343.38, 474.18 and 227 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.38 : 474.18 = 227 : x
  2. Step 2: Convert to fraction form
    343.38/474.18 = 227/x
  3. Step 3: Cross multiply
    343.38x = 474.18 × 227
  4. Step 4: Simplify right side
    343.38x = 107,638.86
  5. Step 5: Solve for x
    x = 107,638.86/343.38
  6. Step 6: Final answer
    x = 313.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.