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Finding the Fourth Proportional to 239.04, 359.28 and 181.44

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Solution

The fourth proportional to 239.04, 359.28 and 181.44 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.04 : 359.28 = 181.44 : x
  2. Step 2: Convert to fraction form
    239.04/359.28 = 181.44/x
  3. Step 3: Cross multiply
    239.04x = 359.28 × 181.44
  4. Step 4: Simplify right side
    239.04x = 65,187.76
  5. Step 5: Solve for x
    x = 65,187.76/239.04
  6. Step 6: Final answer
    x = 272.71

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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.