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Finding the Fourth Proportional to 193.36, 290.09 and 96.05

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Solution

The fourth proportional to 193.36, 290.09 and 96.05 is: 144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.36 : 290.09 = 96.05 : x
  2. Step 2: Convert to fraction form
    193.36/290.09 = 96.05/x
  3. Step 3: Cross multiply
    193.36x = 290.09 × 96.05
  4. Step 4: Simplify right side
    193.36x = 27,863.14
  5. Step 5: Solve for x
    x = 27,863.14/193.36
  6. Step 6: Final answer
    x = 144.10

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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.