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Finding the Fourth Proportional to 193.57, 290.21 and 106.85

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Solution

The fourth proportional to 193.57, 290.21 and 106.85 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.57 : 290.21 = 106.85 : x
  2. Step 2: Convert to fraction form
    193.57/290.21 = 106.85/x
  3. Step 3: Cross multiply
    193.57x = 290.21 × 106.85
  4. Step 4: Simplify right side
    193.57x = 31,009.13
  5. Step 5: Solve for x
    x = 31,009.13/193.57
  6. Step 6: Final answer
    x = 160.20

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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.