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Finding the Fourth Proportional to 204.96, 307.52 and 168.52

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Solution

The fourth proportional to 204.96, 307.52 and 168.52 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 307.52 = 168.52 : x
  2. Step 2: Convert to fraction form
    204.96/307.52 = 168.52/x
  3. Step 3: Cross multiply
    204.96x = 307.52 × 168.52
  4. Step 4: Simplify right side
    204.96x = 51,823.27
  5. Step 5: Solve for x
    x = 51,823.27/204.96
  6. Step 6: Final answer
    x = 252.85

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