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Finding the Fourth Proportional to 330.24, 455.68 and 199.22

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Solution

The fourth proportional to 330.24, 455.68 and 199.22 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.24 : 455.68 = 199.22 : x
  2. Step 2: Convert to fraction form
    330.24/455.68 = 199.22/x
  3. Step 3: Cross multiply
    330.24x = 455.68 × 199.22
  4. Step 4: Simplify right side
    330.24x = 90,780.57
  5. Step 5: Solve for x
    x = 90,780.57/330.24
  6. Step 6: Final answer
    x = 274.89

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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.