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Finding the Fourth Proportional to 330.85, 496.33 and 114.38

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Solution

The fourth proportional to 330.85, 496.33 and 114.38 is: 171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.85 : 496.33 = 114.38 : x
  2. Step 2: Convert to fraction form
    330.85/496.33 = 114.38/x
  3. Step 3: Cross multiply
    330.85x = 496.33 × 114.38
  4. Step 4: Simplify right side
    330.85x = 56,767.46
  5. Step 5: Solve for x
    x = 56,767.46/330.85
  6. Step 6: Final answer
    x = 171.58

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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.