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Finding the Fourth Proportional to 240.67, 360.69 and 137.80

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Solution

The fourth proportional to 240.67, 360.69 and 137.80 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.67 : 360.69 = 137.80 : x
  2. Step 2: Convert to fraction form
    240.67/360.69 = 137.80/x
  3. Step 3: Cross multiply
    240.67x = 360.69 × 137.80
  4. Step 4: Simplify right side
    240.67x = 49,703.08
  5. Step 5: Solve for x
    x = 49,703.08/240.67
  6. Step 6: Final answer
    x = 206.52

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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.