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Finding the Fourth Proportional to 233.76, 350.28 and 204.78

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Solution

The fourth proportional to 233.76, 350.28 and 204.78 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 350.28 = 204.78 : x
  2. Step 2: Convert to fraction form
    233.76/350.28 = 204.78/x
  3. Step 3: Cross multiply
    233.76x = 350.28 × 204.78
  4. Step 4: Simplify right side
    233.76x = 71,730.34
  5. Step 5: Solve for x
    x = 71,730.34/233.76
  6. Step 6: Final answer
    x = 306.85

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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.