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Finding the Fourth Proportional to 193.64, 290.36 and 106.94

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Solution

The fourth proportional to 193.64, 290.36 and 106.94 is: 160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 290.36 = 106.94 : x
  2. Step 2: Convert to fraction form
    193.64/290.36 = 106.94/x
  3. Step 3: Cross multiply
    193.64x = 290.36 × 106.94
  4. Step 4: Simplify right side
    193.64x = 31,052.09
  5. Step 5: Solve for x
    x = 31,052.09/193.64
  6. Step 6: Final answer
    x = 160.36

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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.