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Finding the Fourth Proportional to 194.76, 268.75 and 110.73

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Solution

The fourth proportional to 194.76, 268.75 and 110.73 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.76 : 268.75 = 110.73 : x
  2. Step 2: Convert to fraction form
    194.76/268.75 = 110.73/x
  3. Step 3: Cross multiply
    194.76x = 268.75 × 110.73
  4. Step 4: Simplify right side
    194.76x = 29,758.69
  5. Step 5: Solve for x
    x = 29,758.69/194.76
  6. Step 6: Final answer
    x = 152.80

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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.