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Finding the Fourth Proportional to 193.51, 290.26 and 71.71

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Solution

The fourth proportional to 193.51, 290.26 and 71.71 is: 107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.51 : 290.26 = 71.71 : x
  2. Step 2: Convert to fraction form
    193.51/290.26 = 71.71/x
  3. Step 3: Cross multiply
    193.51x = 290.26 × 71.71
  4. Step 4: Simplify right side
    193.51x = 20,814.54
  5. Step 5: Solve for x
    x = 20,814.54/193.51
  6. Step 6: Final answer
    x = 107.56

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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.