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Finding the Fourth Proportional to 239.51, 359.29 and 77.20

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Solution

The fourth proportional to 239.51, 359.29 and 77.20 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.51 : 359.29 = 77.20 : x
  2. Step 2: Convert to fraction form
    239.51/359.29 = 77.20/x
  3. Step 3: Cross multiply
    239.51x = 359.29 × 77.20
  4. Step 4: Simplify right side
    239.51x = 27,737.97
  5. Step 5: Solve for x
    x = 27,737.97/239.51
  6. Step 6: Final answer
    x = 115.81

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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.