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Finding the Fourth Proportional to 194.90, 269.35 and 159.88

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Solution

The fourth proportional to 194.90, 269.35 and 159.88 is: 220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.90 : 269.35 = 159.88 : x
  2. Step 2: Convert to fraction form
    194.90/269.35 = 159.88/x
  3. Step 3: Cross multiply
    194.90x = 269.35 × 159.88
  4. Step 4: Simplify right side
    194.90x = 43,062.33
  5. Step 5: Solve for x
    x = 43,062.33/194.90
  6. Step 6: Final answer
    x = 220.95

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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.