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Finding the Fourth Proportional to 275.40, 380.23 and 164.91

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Solution

The fourth proportional to 275.40, 380.23 and 164.91 is: 227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 380.23 = 164.91 : x
  2. Step 2: Convert to fraction form
    275.40/380.23 = 164.91/x
  3. Step 3: Cross multiply
    275.40x = 380.23 × 164.91
  4. Step 4: Simplify right side
    275.40x = 62,703.73
  5. Step 5: Solve for x
    x = 62,703.73/275.40
  6. Step 6: Final answer
    x = 227.68

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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.