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Finding the Fourth Proportional to 344.13, 474.92 and 204.27

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Solution

The fourth proportional to 344.13, 474.92 and 204.27 is: 281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.13 : 474.92 = 204.27 : x
  2. Step 2: Convert to fraction form
    344.13/474.92 = 204.27/x
  3. Step 3: Cross multiply
    344.13x = 474.92 × 204.27
  4. Step 4: Simplify right side
    344.13x = 97,010.89
  5. Step 5: Solve for x
    x = 97,010.89/344.13
  6. Step 6: Final answer
    x = 281.90

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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.