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Finding the Fourth Proportional to 240.84, 332.46 and 199.44

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Solution

The fourth proportional to 240.84, 332.46 and 199.44 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 332.46 = 199.44 : x
  2. Step 2: Convert to fraction form
    240.84/332.46 = 199.44/x
  3. Step 3: Cross multiply
    240.84x = 332.46 × 199.44
  4. Step 4: Simplify right side
    240.84x = 66,305.82
  5. Step 5: Solve for x
    x = 66,305.82/240.84
  6. Step 6: Final answer
    x = 275.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.