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Finding the Fourth Proportional to 204.32, 306.23 and 88.67

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Solution

The fourth proportional to 204.32, 306.23 and 88.67 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.32 : 306.23 = 88.67 : x
  2. Step 2: Convert to fraction form
    204.32/306.23 = 88.67/x
  3. Step 3: Cross multiply
    204.32x = 306.23 × 88.67
  4. Step 4: Simplify right side
    204.32x = 27,151.44
  5. Step 5: Solve for x
    x = 27,151.44/204.32
  6. Step 6: Final answer
    x = 132.89

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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.