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Finding the Fourth Proportional to 193.85, 290.77 and 164.89

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Solution

The fourth proportional to 193.85, 290.77 and 164.89 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.85 : 290.77 = 164.89 : x
  2. Step 2: Convert to fraction form
    193.85/290.77 = 164.89/x
  3. Step 3: Cross multiply
    193.85x = 290.77 × 164.89
  4. Step 4: Simplify right side
    193.85x = 47,945.02
  5. Step 5: Solve for x
    x = 47,945.02/193.85
  6. Step 6: Final answer
    x = 247.33

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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.