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Finding the Fourth Proportional to 239.75, 359.26 and 102.72

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Solution

The fourth proportional to 239.75, 359.26 and 102.72 is: 153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.75 : 359.26 = 102.72 : x
  2. Step 2: Convert to fraction form
    239.75/359.26 = 102.72/x
  3. Step 3: Cross multiply
    239.75x = 359.26 × 102.72
  4. Step 4: Simplify right side
    239.75x = 36,902.55
  5. Step 5: Solve for x
    x = 36,902.55/239.75
  6. Step 6: Final answer
    x = 153.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.