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Finding the Fourth Proportional to 275.11, 379.47 and 164.50

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Solution

The fourth proportional to 275.11, 379.47 and 164.50 is: 226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.11 : 379.47 = 164.50 : x
  2. Step 2: Convert to fraction form
    275.11/379.47 = 164.50/x
  3. Step 3: Cross multiply
    275.11x = 379.47 × 164.50
  4. Step 4: Simplify right side
    275.11x = 62,422.82
  5. Step 5: Solve for x
    x = 62,422.82/275.11
  6. Step 6: Final answer
    x = 226.90

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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.