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Finding the Fourth Proportional to 204.83, 306.50 and 113.61

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Solution

The fourth proportional to 204.83, 306.50 and 113.61 is: 170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.83 : 306.50 = 113.61 : x
  2. Step 2: Convert to fraction form
    204.83/306.50 = 113.61/x
  3. Step 3: Cross multiply
    204.83x = 306.50 × 113.61
  4. Step 4: Simplify right side
    204.83x = 34,820.90
  5. Step 5: Solve for x
    x = 34,820.90/204.83
  6. Step 6: Final answer
    x = 170.00

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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.