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Finding the Fourth Proportional to 263.39, 395.08 and 119.11

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Solution

The fourth proportional to 263.39, 395.08 and 119.11 is: 178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.39 : 395.08 = 119.11 : x
  2. Step 2: Convert to fraction form
    263.39/395.08 = 119.11/x
  3. Step 3: Cross multiply
    263.39x = 395.08 × 119.11
  4. Step 4: Simplify right side
    263.39x = 47,057.98
  5. Step 5: Solve for x
    x = 47,057.98/263.39
  6. Step 6: Final answer
    x = 178.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.