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Finding the Fourth Proportional to 274.23, 411.38 and 91.64

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Solution

The fourth proportional to 274.23, 411.38 and 91.64 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 411.38 = 91.64 : x
  2. Step 2: Convert to fraction form
    274.23/411.38 = 91.64/x
  3. Step 3: Cross multiply
    274.23x = 411.38 × 91.64
  4. Step 4: Simplify right side
    274.23x = 37,699.78
  5. Step 5: Solve for x
    x = 37,699.78/274.23
  6. Step 6: Final answer
    x = 137.48

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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.