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Finding the Fourth Proportional to 239.78, 330.95 and 187.22

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Solution

The fourth proportional to 239.78, 330.95 and 187.22 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.78 : 330.95 = 187.22 : x
  2. Step 2: Convert to fraction form
    239.78/330.95 = 187.22/x
  3. Step 3: Cross multiply
    239.78x = 330.95 × 187.22
  4. Step 4: Simplify right side
    239.78x = 61,960.46
  5. Step 5: Solve for x
    x = 61,960.46/239.78
  6. Step 6: Final answer
    x = 258.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.