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Finding the Fourth Proportional to 258.97, 357.22 and 189.11

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Solution

The fourth proportional to 258.97, 357.22 and 189.11 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.97 : 357.22 = 189.11 : x
  2. Step 2: Convert to fraction form
    258.97/357.22 = 189.11/x
  3. Step 3: Cross multiply
    258.97x = 357.22 × 189.11
  4. Step 4: Simplify right side
    258.97x = 67,551.14
  5. Step 5: Solve for x
    x = 67,551.14/258.97
  6. Step 6: Final answer
    x = 260.85

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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.