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Finding the Fourth Proportional to 275.24, 379.76 and 164.76

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Solution

The fourth proportional to 275.24, 379.76 and 164.76 is: 227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.24 : 379.76 = 164.76 : x
  2. Step 2: Convert to fraction form
    275.24/379.76 = 164.76/x
  3. Step 3: Cross multiply
    275.24x = 379.76 × 164.76
  4. Step 4: Simplify right side
    275.24x = 62,569.26
  5. Step 5: Solve for x
    x = 62,569.26/275.24
  6. Step 6: Final answer
    x = 227.33

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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.