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Finding the Fourth Proportional to 330.74, 496.09 and 114.31

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Solution

The fourth proportional to 330.74, 496.09 and 114.31 is: 171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.74 : 496.09 = 114.31 : x
  2. Step 2: Convert to fraction form
    330.74/496.09 = 114.31/x
  3. Step 3: Cross multiply
    330.74x = 496.09 × 114.31
  4. Step 4: Simplify right side
    330.74x = 56,708.05
  5. Step 5: Solve for x
    x = 56,708.05/330.74
  6. Step 6: Final answer
    x = 171.46

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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.