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Finding the Fourth Proportional to 263.64, 395.52 and 119.36

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Solution

The fourth proportional to 263.64, 395.52 and 119.36 is: 179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 395.52 = 119.36 : x
  2. Step 2: Convert to fraction form
    263.64/395.52 = 119.36/x
  3. Step 3: Cross multiply
    263.64x = 395.52 × 119.36
  4. Step 4: Simplify right side
    263.64x = 47,209.27
  5. Step 5: Solve for x
    x = 47,209.27/263.64
  6. Step 6: Final answer
    x = 179.07

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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.