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Finding the Fourth Proportional to 204.61, 306.95 and 67.66

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Solution

The fourth proportional to 204.61, 306.95 and 67.66 is: 101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.61 : 306.95 = 67.66 : x
  2. Step 2: Convert to fraction form
    204.61/306.95 = 67.66/x
  3. Step 3: Cross multiply
    204.61x = 306.95 × 67.66
  4. Step 4: Simplify right side
    204.61x = 20,768.24
  5. Step 5: Solve for x
    x = 20,768.24/204.61
  6. Step 6: Final answer
    x = 101.50

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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.