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Finding the Fourth Proportional to 239.63, 330.80 and 169.74

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Solution

The fourth proportional to 239.63, 330.80 and 169.74 is: 234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.63 : 330.80 = 169.74 : x
  2. Step 2: Convert to fraction form
    239.63/330.80 = 169.74/x
  3. Step 3: Cross multiply
    239.63x = 330.80 × 169.74
  4. Step 4: Simplify right side
    239.63x = 56,149.14
  5. Step 5: Solve for x
    x = 56,149.14/239.63
  6. Step 6: Final answer
    x = 234.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.