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Finding the Fourth Proportional to 193.49, 290.16 and 85.22

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Solution

The fourth proportional to 193.49, 290.16 and 85.22 is: 127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 290.16 = 85.22 : x
  2. Step 2: Convert to fraction form
    193.49/290.16 = 85.22/x
  3. Step 3: Cross multiply
    193.49x = 290.16 × 85.22
  4. Step 4: Simplify right side
    193.49x = 24,725.98
  5. Step 5: Solve for x
    x = 24,725.98/193.49
  6. Step 6: Final answer
    x = 127.79

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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.