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Finding the Fourth Proportional to 330.86, 495.97 and 176.42

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Solution

The fourth proportional to 330.86, 495.97 and 176.42 is: 264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.86 : 495.97 = 176.42 : x
  2. Step 2: Convert to fraction form
    330.86/495.97 = 176.42/x
  3. Step 3: Cross multiply
    330.86x = 495.97 × 176.42
  4. Step 4: Simplify right side
    330.86x = 87,499.03
  5. Step 5: Solve for x
    x = 87,499.03/330.86
  6. Step 6: Final answer
    x = 264.46

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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.