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Finding the Fourth Proportional to 263.38, 395.04 and 119.06

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Solution

The fourth proportional to 263.38, 395.04 and 119.06 is: 178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 395.04 = 119.06 : x
  2. Step 2: Convert to fraction form
    263.38/395.04 = 119.06/x
  3. Step 3: Cross multiply
    263.38x = 395.04 × 119.06
  4. Step 4: Simplify right side
    263.38x = 47,033.46
  5. Step 5: Solve for x
    x = 47,033.46/263.38
  6. Step 6: Final answer
    x = 178.58

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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.