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Finding the Fourth Proportional to 258.10, 356.11 and 164.85

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Solution

The fourth proportional to 258.10, 356.11 and 164.85 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 356.11 = 164.85 : x
  2. Step 2: Convert to fraction form
    258.10/356.11 = 164.85/x
  3. Step 3: Cross multiply
    258.10x = 356.11 × 164.85
  4. Step 4: Simplify right side
    258.10x = 58,704.73
  5. Step 5: Solve for x
    x = 58,704.73/258.10
  6. Step 6: Final answer
    x = 227.45

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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.