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Finding the Fourth Proportional to 204.70, 307.06 and 168.56

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Solution

The fourth proportional to 204.70, 307.06 and 168.56 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.70 : 307.06 = 168.56 : x
  2. Step 2: Convert to fraction form
    204.70/307.06 = 168.56/x
  3. Step 3: Cross multiply
    204.70x = 307.06 × 168.56
  4. Step 4: Simplify right side
    204.70x = 51,758.03
  5. Step 5: Solve for x
    x = 51,758.03/204.70
  6. Step 6: Final answer
    x = 252.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.