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Finding the Fourth Proportional to 275.26, 379.90 and 164.80

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Solution

The fourth proportional to 275.26, 379.90 and 164.80 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.26 : 379.90 = 164.80 : x
  2. Step 2: Convert to fraction form
    275.26/379.90 = 164.80/x
  3. Step 3: Cross multiply
    275.26x = 379.90 × 164.80
  4. Step 4: Simplify right side
    275.26x = 62,607.52
  5. Step 5: Solve for x
    x = 62,607.52/275.26
  6. Step 6: Final answer
    x = 227.45

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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.