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Finding the Fourth Proportional to 194.55, 268.36 and 114.82

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Solution

The fourth proportional to 194.55, 268.36 and 114.82 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.55 : 268.36 = 114.82 : x
  2. Step 2: Convert to fraction form
    194.55/268.36 = 114.82/x
  3. Step 3: Cross multiply
    194.55x = 268.36 × 114.82
  4. Step 4: Simplify right side
    194.55x = 30,812.78
  5. Step 5: Solve for x
    x = 30,812.78/194.55
  6. Step 6: Final answer
    x = 158.38

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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.