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Finding the Fourth Proportional to 263.12, 363.09 and 146.69

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Solution

The fourth proportional to 263.12, 363.09 and 146.69 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 363.09 = 146.69 : x
  2. Step 2: Convert to fraction form
    263.12/363.09 = 146.69/x
  3. Step 3: Cross multiply
    263.12x = 363.09 × 146.69
  4. Step 4: Simplify right side
    263.12x = 53,259.86
  5. Step 5: Solve for x
    x = 53,259.86/263.12
  6. Step 6: Final answer
    x = 202.42

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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.