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Finding the Fourth Proportional to 275.37, 380.07 and 164.87

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Solution

The fourth proportional to 275.37, 380.07 and 164.87 is: 227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 380.07 = 164.87 : x
  2. Step 2: Convert to fraction form
    275.37/380.07 = 164.87/x
  3. Step 3: Cross multiply
    275.37x = 380.07 × 164.87
  4. Step 4: Simplify right side
    275.37x = 62,660.24
  5. Step 5: Solve for x
    x = 62,660.24/275.37
  6. Step 6: Final answer
    x = 227.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.