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Finding the Fourth Proportional to 330.29, 495.77 and 165.88

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Solution

The fourth proportional to 330.29, 495.77 and 165.88 is: 248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.29 : 495.77 = 165.88 : x
  2. Step 2: Convert to fraction form
    330.29/495.77 = 165.88/x
  3. Step 3: Cross multiply
    330.29x = 495.77 × 165.88
  4. Step 4: Simplify right side
    330.29x = 82,239.05
  5. Step 5: Solve for x
    x = 82,239.05/330.29
  6. Step 6: Final answer
    x = 248.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.