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Finding the Fourth Proportional to 275.50, 380.18 and 164.92

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Solution

The fourth proportional to 275.50, 380.18 and 164.92 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.50 : 380.18 = 164.92 : x
  2. Step 2: Convert to fraction form
    275.50/380.18 = 164.92/x
  3. Step 3: Cross multiply
    275.50x = 380.18 × 164.92
  4. Step 4: Simplify right side
    275.50x = 62,696.56
  5. Step 5: Solve for x
    x = 62,696.56/275.50
  6. Step 6: Final answer
    x = 227.58

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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.