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Finding the Fourth Proportional to 263.29, 363.45 and 184.62

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Solution

The fourth proportional to 263.29, 363.45 and 184.62 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.29 : 363.45 = 184.62 : x
  2. Step 2: Convert to fraction form
    263.29/363.45 = 184.62/x
  3. Step 3: Cross multiply
    263.29x = 363.45 × 184.62
  4. Step 4: Simplify right side
    263.29x = 67,100.14
  5. Step 5: Solve for x
    x = 67,100.14/263.29
  6. Step 6: Final answer
    x = 254.85

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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.