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Finding the Fourth Proportional to 193.78, 291.21 and 159.22

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Solution

The fourth proportional to 193.78, 291.21 and 159.22 is: 239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 291.21 = 159.22 : x
  2. Step 2: Convert to fraction form
    193.78/291.21 = 159.22/x
  3. Step 3: Cross multiply
    193.78x = 291.21 × 159.22
  4. Step 4: Simplify right side
    193.78x = 46,366.46
  5. Step 5: Solve for x
    x = 46,366.46/193.78
  6. Step 6: Final answer
    x = 239.27

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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.