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Finding the Fourth Proportional to 239.06, 329.68 and 180.02

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Solution

The fourth proportional to 239.06, 329.68 and 180.02 is: 248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.06 : 329.68 = 180.02 : x
  2. Step 2: Convert to fraction form
    239.06/329.68 = 180.02/x
  3. Step 3: Cross multiply
    239.06x = 329.68 × 180.02
  4. Step 4: Simplify right side
    239.06x = 59,348.99
  5. Step 5: Solve for x
    x = 59,348.99/239.06
  6. Step 6: Final answer
    x = 248.26

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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.