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Finding the Fourth Proportional to 291.50, 402.14 and 204.20

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Solution

The fourth proportional to 291.50, 402.14 and 204.20 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 402.14 = 204.20 : x
  2. Step 2: Convert to fraction form
    291.50/402.14 = 204.20/x
  3. Step 3: Cross multiply
    291.50x = 402.14 × 204.20
  4. Step 4: Simplify right side
    291.50x = 82,116.99
  5. Step 5: Solve for x
    x = 82,116.99/291.50
  6. Step 6: Final answer
    x = 281.70

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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.