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Finding the Fourth Proportional to 258.60, 355.73 and 226.95

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Solution

The fourth proportional to 258.60, 355.73 and 226.95 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.60 : 355.73 = 226.95 : x
  2. Step 2: Convert to fraction form
    258.60/355.73 = 226.95/x
  3. Step 3: Cross multiply
    258.60x = 355.73 × 226.95
  4. Step 4: Simplify right side
    258.60x = 80,732.92
  5. Step 5: Solve for x
    x = 80,732.92/258.60
  6. Step 6: Final answer
    x = 312.19

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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.