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Finding the Fourth Proportional to 263.31, 395.09 and 147.88

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Solution

The fourth proportional to 263.31, 395.09 and 147.88 is: 221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.31 : 395.09 = 147.88 : x
  2. Step 2: Convert to fraction form
    263.31/395.09 = 147.88/x
  3. Step 3: Cross multiply
    263.31x = 395.09 × 147.88
  4. Step 4: Simplify right side
    263.31x = 58,425.91
  5. Step 5: Solve for x
    x = 58,425.91/263.31
  6. Step 6: Final answer
    x = 221.89

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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.