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Finding the Fourth Proportional to 263.57, 363.67 and 147.11

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Solution

The fourth proportional to 263.57, 363.67 and 147.11 is: 202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 363.67 = 147.11 : x
  2. Step 2: Convert to fraction form
    263.57/363.67 = 147.11/x
  3. Step 3: Cross multiply
    263.57x = 363.67 × 147.11
  4. Step 4: Simplify right side
    263.57x = 53,497.31
  5. Step 5: Solve for x
    x = 53,497.31/263.57
  6. Step 6: Final answer
    x = 202.98

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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.