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Finding the Fourth Proportional to 263.46, 394.83 and 147.96

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Solution

The fourth proportional to 263.46, 394.83 and 147.96 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.46 : 394.83 = 147.96 : x
  2. Step 2: Convert to fraction form
    263.46/394.83 = 147.96/x
  3. Step 3: Cross multiply
    263.46x = 394.83 × 147.96
  4. Step 4: Simplify right side
    263.46x = 58,419.05
  5. Step 5: Solve for x
    x = 58,419.05/263.46
  6. Step 6: Final answer
    x = 221.74

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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.