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Finding the Fourth Proportional to 311.78, 466.95 and 203.42

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Solution

The fourth proportional to 311.78, 466.95 and 203.42 is: 304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 466.95 = 203.42 : x
  2. Step 2: Convert to fraction form
    311.78/466.95 = 203.42/x
  3. Step 3: Cross multiply
    311.78x = 466.95 × 203.42
  4. Step 4: Simplify right side
    311.78x = 94,986.97
  5. Step 5: Solve for x
    x = 94,986.97/311.78
  6. Step 6: Final answer
    x = 304.66

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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.