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Finding the Fourth Proportional to 291.57, 402.66 and 204.09

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Solution

The fourth proportional to 291.57, 402.66 and 204.09 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.57 : 402.66 = 204.09 : x
  2. Step 2: Convert to fraction form
    291.57/402.66 = 204.09/x
  3. Step 3: Cross multiply
    291.57x = 402.66 × 204.09
  4. Step 4: Simplify right side
    291.57x = 82,178.88
  5. Step 5: Solve for x
    x = 82,178.88/291.57
  6. Step 6: Final answer
    x = 281.85

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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.