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Finding the Fourth Proportional to 204.62, 306.97 and 105.82

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Solution

The fourth proportional to 204.62, 306.97 and 105.82 is: 158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.62 : 306.97 = 105.82 : x
  2. Step 2: Convert to fraction form
    204.62/306.97 = 105.82/x
  3. Step 3: Cross multiply
    204.62x = 306.97 × 105.82
  4. Step 4: Simplify right side
    204.62x = 32,482.53
  5. Step 5: Solve for x
    x = 32,482.53/204.62
  6. Step 6: Final answer
    x = 158.75

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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.