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Finding the Fourth Proportional to 193.62, 290.25 and 125.16

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Solution

The fourth proportional to 193.62, 290.25 and 125.16 is: 187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.62 : 290.25 = 125.16 : x
  2. Step 2: Convert to fraction form
    193.62/290.25 = 125.16/x
  3. Step 3: Cross multiply
    193.62x = 290.25 × 125.16
  4. Step 4: Simplify right side
    193.62x = 36,327.69
  5. Step 5: Solve for x
    x = 36,327.69/193.62
  6. Step 6: Final answer
    x = 187.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.