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Finding the Fourth Proportional to 193.94, 290.91 and 158.12

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Solution

The fourth proportional to 193.94, 290.91 and 158.12 is: 237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.94 : 290.91 = 158.12 : x
  2. Step 2: Convert to fraction form
    193.94/290.91 = 158.12/x
  3. Step 3: Cross multiply
    193.94x = 290.91 × 158.12
  4. Step 4: Simplify right side
    193.94x = 45,998.69
  5. Step 5: Solve for x
    x = 45,998.69/193.94
  6. Step 6: Final answer
    x = 237.18

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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.