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Finding the Fourth Proportional to 330.89, 456.77 and 199.88

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Solution

The fourth proportional to 330.89, 456.77 and 199.88 is: 275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.89 : 456.77 = 199.88 : x
  2. Step 2: Convert to fraction form
    330.89/456.77 = 199.88/x
  3. Step 3: Cross multiply
    330.89x = 456.77 × 199.88
  4. Step 4: Simplify right side
    330.89x = 91,299.19
  5. Step 5: Solve for x
    x = 91,299.19/330.89
  6. Step 6: Final answer
    x = 275.92

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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.