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Finding the Fourth Proportional to 240.97, 359.82 and 191.67

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Solution

The fourth proportional to 240.97, 359.82 and 191.67 is: 286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.97 : 359.82 = 191.67 : x
  2. Step 2: Convert to fraction form
    240.97/359.82 = 191.67/x
  3. Step 3: Cross multiply
    240.97x = 359.82 × 191.67
  4. Step 4: Simplify right side
    240.97x = 68,967.06
  5. Step 5: Solve for x
    x = 68,967.06/240.97
  6. Step 6: Final answer
    x = 286.20

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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.