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Finding the Fourth Proportional to 239.60, 359.04 and 185.42

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Solution

The fourth proportional to 239.60, 359.04 and 185.42 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.60 : 359.04 = 185.42 : x
  2. Step 2: Convert to fraction form
    239.60/359.04 = 185.42/x
  3. Step 3: Cross multiply
    239.60x = 359.04 × 185.42
  4. Step 4: Simplify right side
    239.60x = 66,573.20
  5. Step 5: Solve for x
    x = 66,573.20/239.60
  6. Step 6: Final answer
    x = 277.85

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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.