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Finding the Fourth Proportional to 240.65, 360.97 and 96.37

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Solution

The fourth proportional to 240.65, 360.97 and 96.37 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.65 : 360.97 = 96.37 : x
  2. Step 2: Convert to fraction form
    240.65/360.97 = 96.37/x
  3. Step 3: Cross multiply
    240.65x = 360.97 × 96.37
  4. Step 4: Simplify right side
    240.65x = 34,786.08
  5. Step 5: Solve for x
    x = 34,786.08/240.65
  6. Step 6: Final answer
    x = 144.55

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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.