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Finding the Fourth Proportional to 263.43, 363.57 and 147

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Solution

The fourth proportional to 263.43, 363.57 and 147 is: 202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.43 : 363.57 = 147 : x
  2. Step 2: Convert to fraction form
    263.43/363.57 = 147/x
  3. Step 3: Cross multiply
    263.43x = 363.57 × 147
  4. Step 4: Simplify right side
    263.43x = 53,444.79
  5. Step 5: Solve for x
    x = 53,444.79/263.43
  6. Step 6: Final answer
    x = 202.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.