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Finding the Fourth Proportional to 193.56, 290.32 and 71.80

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Solution

The fourth proportional to 193.56, 290.32 and 71.80 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.32 = 71.80 : x
  2. Step 2: Convert to fraction form
    193.56/290.32 = 71.80/x
  3. Step 3: Cross multiply
    193.56x = 290.32 × 71.80
  4. Step 4: Simplify right side
    193.56x = 20,844.98
  5. Step 5: Solve for x
    x = 20,844.98/193.56
  6. Step 6: Final answer
    x = 107.69

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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.