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Finding the Fourth Proportional to 194.62, 268.53 and 115.96

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Solution

The fourth proportional to 194.62, 268.53 and 115.96 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.62 : 268.53 = 115.96 : x
  2. Step 2: Convert to fraction form
    194.62/268.53 = 115.96/x
  3. Step 3: Cross multiply
    194.62x = 268.53 × 115.96
  4. Step 4: Simplify right side
    194.62x = 31,138.74
  5. Step 5: Solve for x
    x = 31,138.74/194.62
  6. Step 6: Final answer
    x = 160.00

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Why These Related Problems?

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