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Finding the Fourth Proportional to 239.88, 359.73 and 214.23

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Solution

The fourth proportional to 239.88, 359.73 and 214.23 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.88 : 359.73 = 214.23 : x
  2. Step 2: Convert to fraction form
    239.88/359.73 = 214.23/x
  3. Step 3: Cross multiply
    239.88x = 359.73 × 214.23
  4. Step 4: Simplify right side
    239.88x = 77,064.96
  5. Step 5: Solve for x
    x = 77,064.96/239.88
  6. Step 6: Final answer
    x = 321.26

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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.