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Finding the Fourth Proportional to 194.25, 268.13 and 125.25

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Solution

The fourth proportional to 194.25, 268.13 and 125.25 is: 172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.25 : 268.13 = 125.25 : x
  2. Step 2: Convert to fraction form
    194.25/268.13 = 125.25/x
  3. Step 3: Cross multiply
    194.25x = 268.13 × 125.25
  4. Step 4: Simplify right side
    194.25x = 33,583.28
  5. Step 5: Solve for x
    x = 33,583.28/194.25
  6. Step 6: Final answer
    x = 172.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.