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Finding the Fourth Proportional to 297.78, 410.42 and 204.36

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Solution

The fourth proportional to 297.78, 410.42 and 204.36 is: 281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 410.42 = 204.36 : x
  2. Step 2: Convert to fraction form
    297.78/410.42 = 204.36/x
  3. Step 3: Cross multiply
    297.78x = 410.42 × 204.36
  4. Step 4: Simplify right side
    297.78x = 83,871.38
  5. Step 5: Solve for x
    x = 83,871.38/297.78
  6. Step 6: Final answer
    x = 281.66

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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.