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Finding the Fourth Proportional to 239.11, 329.59 and 180.01

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Solution

The fourth proportional to 239.11, 329.59 and 180.01 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.11 : 329.59 = 180.01 : x
  2. Step 2: Convert to fraction form
    239.11/329.59 = 180.01/x
  3. Step 3: Cross multiply
    239.11x = 329.59 × 180.01
  4. Step 4: Simplify right side
    239.11x = 59,326.95
  5. Step 5: Solve for x
    x = 59,326.95/239.11
  6. Step 6: Final answer
    x = 248.12

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