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Finding the Fourth Proportional to 204.90, 306.89 and 101.96

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Solution

The fourth proportional to 204.90, 306.89 and 101.96 is: 152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 306.89 = 101.96 : x
  2. Step 2: Convert to fraction form
    204.90/306.89 = 101.96/x
  3. Step 3: Cross multiply
    204.90x = 306.89 × 101.96
  4. Step 4: Simplify right side
    204.90x = 31,289.99
  5. Step 5: Solve for x
    x = 31,289.99/204.90
  6. Step 6: Final answer
    x = 152.71

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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.