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Finding the Fourth Proportional to 239.44, 330.06 and 165.82

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Solution

The fourth proportional to 239.44, 330.06 and 165.82 is: 228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.44 : 330.06 = 165.82 : x
  2. Step 2: Convert to fraction form
    239.44/330.06 = 165.82/x
  3. Step 3: Cross multiply
    239.44x = 330.06 × 165.82
  4. Step 4: Simplify right side
    239.44x = 54,730.55
  5. Step 5: Solve for x
    x = 54,730.55/239.44
  6. Step 6: Final answer
    x = 228.58

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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.