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Finding the Fourth Proportional to 204.22, 306.34 and 135.70

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Solution

The fourth proportional to 204.22, 306.34 and 135.70 is: 203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.22 : 306.34 = 135.70 : x
  2. Step 2: Convert to fraction form
    204.22/306.34 = 135.70/x
  3. Step 3: Cross multiply
    204.22x = 306.34 × 135.70
  4. Step 4: Simplify right side
    204.22x = 41,570.34
  5. Step 5: Solve for x
    x = 41,570.34/204.22
  6. Step 6: Final answer
    x = 203.56

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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.