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Finding the Fourth Proportional to 330.93, 496.47 and 111.63

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Solution

The fourth proportional to 330.93, 496.47 and 111.63 is: 167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.93 : 496.47 = 111.63 : x
  2. Step 2: Convert to fraction form
    330.93/496.47 = 111.63/x
  3. Step 3: Cross multiply
    330.93x = 496.47 × 111.63
  4. Step 4: Simplify right side
    330.93x = 55,420.95
  5. Step 5: Solve for x
    x = 55,420.95/330.93
  6. Step 6: Final answer
    x = 167.47

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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.