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Finding the Fourth Proportional to 194.75, 268.61 and 128.28

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Solution

The fourth proportional to 194.75, 268.61 and 128.28 is: 176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.75 : 268.61 = 128.28 : x
  2. Step 2: Convert to fraction form
    194.75/268.61 = 128.28/x
  3. Step 3: Cross multiply
    194.75x = 268.61 × 128.28
  4. Step 4: Simplify right side
    194.75x = 34,455.95
  5. Step 5: Solve for x
    x = 34,455.95/194.75
  6. Step 6: Final answer
    x = 176.93

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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.