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Finding the Fourth Proportional to 240.80, 360.88 and 119.09

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Solution

The fourth proportional to 240.80, 360.88 and 119.09 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.80 : 360.88 = 119.09 : x
  2. Step 2: Convert to fraction form
    240.80/360.88 = 119.09/x
  3. Step 3: Cross multiply
    240.80x = 360.88 × 119.09
  4. Step 4: Simplify right side
    240.80x = 42,977.80
  5. Step 5: Solve for x
    x = 42,977.80/240.80
  6. Step 6: Final answer
    x = 178.48

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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.