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Finding the Fourth Proportional to 194.95, 269.42 and 159.93

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Solution

The fourth proportional to 194.95, 269.42 and 159.93 is: 221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.95 : 269.42 = 159.93 : x
  2. Step 2: Convert to fraction form
    194.95/269.42 = 159.93/x
  3. Step 3: Cross multiply
    194.95x = 269.42 × 159.93
  4. Step 4: Simplify right side
    194.95x = 43,086.19
  5. Step 5: Solve for x
    x = 43,086.19/194.95
  6. Step 6: Final answer
    x = 221.01

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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.