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Finding the Fourth Proportional to 263.57, 363.21 and 189.75

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Solution

The fourth proportional to 263.57, 363.21 and 189.75 is: 261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 363.21 = 189.75 : x
  2. Step 2: Convert to fraction form
    263.57/363.21 = 189.75/x
  3. Step 3: Cross multiply
    263.57x = 363.21 × 189.75
  4. Step 4: Simplify right side
    263.57x = 68,919.10
  5. Step 5: Solve for x
    x = 68,919.10/263.57
  6. Step 6: Final answer
    x = 261.49

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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.