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Finding the Fourth Proportional to 240.64, 359.09 and 212.20

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Solution

The fourth proportional to 240.64, 359.09 and 212.20 is: 316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.64 : 359.09 = 212.20 : x
  2. Step 2: Convert to fraction form
    240.64/359.09 = 212.20/x
  3. Step 3: Cross multiply
    240.64x = 359.09 × 212.20
  4. Step 4: Simplify right side
    240.64x = 76,198.90
  5. Step 5: Solve for x
    x = 76,198.90/240.64
  6. Step 6: Final answer
    x = 316.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.