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Finding the Fourth Proportional to 263.13, 363.11 and 146.69

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Solution

The fourth proportional to 263.13, 363.11 and 146.69 is: 202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.13 : 363.11 = 146.69 : x
  2. Step 2: Convert to fraction form
    263.13/363.11 = 146.69/x
  3. Step 3: Cross multiply
    263.13x = 363.11 × 146.69
  4. Step 4: Simplify right side
    263.13x = 53,264.61
  5. Step 5: Solve for x
    x = 53,264.61/263.13
  6. Step 6: Final answer
    x = 202.43

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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.