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Finding the Fourth Proportional to 275.42, 380.05 and 164.85

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Solution

The fourth proportional to 275.42, 380.05 and 164.85 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 380.05 = 164.85 : x
  2. Step 2: Convert to fraction form
    275.42/380.05 = 164.85/x
  3. Step 3: Cross multiply
    275.42x = 380.05 × 164.85
  4. Step 4: Simplify right side
    275.42x = 62,651.24
  5. Step 5: Solve for x
    x = 62,651.24/275.42
  6. Step 6: Final answer
    x = 227.48

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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.