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Finding the Fourth Proportional to 193.70, 290.35 and 159.41

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Solution

The fourth proportional to 193.70, 290.35 and 159.41 is: 238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 290.35 = 159.41 : x
  2. Step 2: Convert to fraction form
    193.70/290.35 = 159.41/x
  3. Step 3: Cross multiply
    193.70x = 290.35 × 159.41
  4. Step 4: Simplify right side
    193.70x = 46,283.90
  5. Step 5: Solve for x
    x = 46,283.90/193.70
  6. Step 6: Final answer
    x = 238.95

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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.