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Finding the Fourth Proportional to 344.22, 474.96 and 204.30

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Solution

The fourth proportional to 344.22, 474.96 and 204.30 is: 281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.22 : 474.96 = 204.30 : x
  2. Step 2: Convert to fraction form
    344.22/474.96 = 204.30/x
  3. Step 3: Cross multiply
    344.22x = 474.96 × 204.30
  4. Step 4: Simplify right side
    344.22x = 97,034.33
  5. Step 5: Solve for x
    x = 97,034.33/344.22
  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.