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Finding the Fourth Proportional to 240.30, 360.69 and 132.14

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Solution

The fourth proportional to 240.30, 360.69 and 132.14 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 360.69 = 132.14 : x
  2. Step 2: Convert to fraction form
    240.30/360.69 = 132.14/x
  3. Step 3: Cross multiply
    240.30x = 360.69 × 132.14
  4. Step 4: Simplify right side
    240.30x = 47,661.58
  5. Step 5: Solve for x
    x = 47,661.58/240.30
  6. Step 6: Final answer
    x = 198.34

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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.