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Finding the Fourth Proportional to 330.67, 456.41 and 199.66

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Solution

The fourth proportional to 330.67, 456.41 and 199.66 is: 275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.67 : 456.41 = 199.66 : x
  2. Step 2: Convert to fraction form
    330.67/456.41 = 199.66/x
  3. Step 3: Cross multiply
    330.67x = 456.41 × 199.66
  4. Step 4: Simplify right side
    330.67x = 91,126.82
  5. Step 5: Solve for x
    x = 91,126.82/330.67
  6. Step 6: Final answer
    x = 275.58

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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.