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Finding the Fourth Proportional to 240.84, 362.52 and 221.76

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Solution

The fourth proportional to 240.84, 362.52 and 221.76 is: 333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 362.52 = 221.76 : x
  2. Step 2: Convert to fraction form
    240.84/362.52 = 221.76/x
  3. Step 3: Cross multiply
    240.84x = 362.52 × 221.76
  4. Step 4: Simplify right side
    240.84x = 80,392.44
  5. Step 5: Solve for x
    x = 80,392.44/240.84
  6. Step 6: Final answer
    x = 333.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.