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Finding the Fourth Proportional to 263.55, 363.66 and 185.11

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Solution

The fourth proportional to 263.55, 363.66 and 185.11 is: 255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.55 : 363.66 = 185.11 : x
  2. Step 2: Convert to fraction form
    263.55/363.66 = 185.11/x
  3. Step 3: Cross multiply
    263.55x = 363.66 × 185.11
  4. Step 4: Simplify right side
    263.55x = 67,316.18
  5. Step 5: Solve for x
    x = 67,316.18/263.55
  6. Step 6: Final answer
    x = 255.42

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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.