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Finding the Fourth Proportional to 291.40, 402.33 and 204.10

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Solution

The fourth proportional to 291.40, 402.33 and 204.10 is: 281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 402.33 = 204.10 : x
  2. Step 2: Convert to fraction form
    291.40/402.33 = 204.10/x
  3. Step 3: Cross multiply
    291.40x = 402.33 × 204.10
  4. Step 4: Simplify right side
    291.40x = 82,115.55
  5. Step 5: Solve for x
    x = 82,115.55/291.40
  6. Step 6: Final answer
    x = 281.80

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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.