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Finding the Fourth Proportional to 275.46, 380.10 and 164.93

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Solution

The fourth proportional to 275.46, 380.10 and 164.93 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 380.10 = 164.93 : x
  2. Step 2: Convert to fraction form
    275.46/380.10 = 164.93/x
  3. Step 3: Cross multiply
    275.46x = 380.10 × 164.93
  4. Step 4: Simplify right side
    275.46x = 62,687.99
  5. Step 5: Solve for x
    x = 62,687.99/275.46
  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.