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Finding the Fourth Proportional to 193.93, 290.61 and 180.97

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Solution

The fourth proportional to 193.93, 290.61 and 180.97 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.93 : 290.61 = 180.97 : x
  2. Step 2: Convert to fraction form
    193.93/290.61 = 180.97/x
  3. Step 3: Cross multiply
    193.93x = 290.61 × 180.97
  4. Step 4: Simplify right side
    193.93x = 52,590.97
  5. Step 5: Solve for x
    x = 52,590.97/193.93
  6. Step 6: Final answer
    x = 271.19

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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.