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Finding the Fourth Proportional to 330.99, 496.07 and 114.31

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Solution

The fourth proportional to 330.99, 496.07 and 114.31 is: 171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.99 : 496.07 = 114.31 : x
  2. Step 2: Convert to fraction form
    330.99/496.07 = 114.31/x
  3. Step 3: Cross multiply
    330.99x = 496.07 × 114.31
  4. Step 4: Simplify right side
    330.99x = 56,706.05
  5. Step 5: Solve for x
    x = 56,706.05/330.99
  6. Step 6: Final answer
    x = 171.33

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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.