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Finding the Fourth Proportional to 239.04, 329.90 and 180.32

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Solution

The fourth proportional to 239.04, 329.90 and 180.32 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.04 : 329.90 = 180.32 : x
  2. Step 2: Convert to fraction form
    239.04/329.90 = 180.32/x
  3. Step 3: Cross multiply
    239.04x = 329.90 × 180.32
  4. Step 4: Simplify right side
    239.04x = 59,485.02
  5. Step 5: Solve for x
    x = 59,485.02/239.04
  6. Step 6: Final answer
    x = 248.85

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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.