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Finding the Fourth Proportional to 239.42, 330.24 and 180.56

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Solution

The fourth proportional to 239.42, 330.24 and 180.56 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.42 : 330.24 = 180.56 : x
  2. Step 2: Convert to fraction form
    239.42/330.24 = 180.56/x
  3. Step 3: Cross multiply
    239.42x = 330.24 × 180.56
  4. Step 4: Simplify right side
    239.42x = 59,628.13
  5. Step 5: Solve for x
    x = 59,628.13/239.42
  6. Step 6: Final answer
    x = 249.05

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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.