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Finding the Fourth Proportional to 273.78, 410.70 and 91.16

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Solution

The fourth proportional to 273.78, 410.70 and 91.16 is: 136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 410.70 = 91.16 : x
  2. Step 2: Convert to fraction form
    273.78/410.70 = 91.16/x
  3. Step 3: Cross multiply
    273.78x = 410.70 × 91.16
  4. Step 4: Simplify right side
    273.78x = 37,439.41
  5. Step 5: Solve for x
    x = 37,439.41/273.78
  6. Step 6: Final answer
    x = 136.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.