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Finding the Fourth Proportional to 239.78, 360.07 and 137.25

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Solution

The fourth proportional to 239.78, 360.07 and 137.25 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.78 : 360.07 = 137.25 : x
  2. Step 2: Convert to fraction form
    239.78/360.07 = 137.25/x
  3. Step 3: Cross multiply
    239.78x = 360.07 × 137.25
  4. Step 4: Simplify right side
    239.78x = 49,419.26
  5. Step 5: Solve for x
    x = 49,419.26/239.78
  6. Step 6: Final answer
    x = 206.10

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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.