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Finding the Fourth Proportional to 233.68, 350.10 and 204.88

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Solution

The fourth proportional to 233.68, 350.10 and 204.88 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 350.10 = 204.88 : x
  2. Step 2: Convert to fraction form
    233.68/350.10 = 204.88/x
  3. Step 3: Cross multiply
    233.68x = 350.10 × 204.88
  4. Step 4: Simplify right side
    233.68x = 71,728.49
  5. Step 5: Solve for x
    x = 71,728.49/233.68
  6. Step 6: Final answer
    x = 306.95

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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.