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Finding the Fourth Proportional to 204.61, 306.96 and 101.92

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Solution

The fourth proportional to 204.61, 306.96 and 101.92 is: 152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.61 : 306.96 = 101.92 : x
  2. Step 2: Convert to fraction form
    204.61/306.96 = 101.92/x
  3. Step 3: Cross multiply
    204.61x = 306.96 × 101.92
  4. Step 4: Simplify right side
    204.61x = 31,285.36
  5. Step 5: Solve for x
    x = 31,285.36/204.61
  6. Step 6: Final answer
    x = 152.90

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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.