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Finding the Fourth Proportional to 258.94, 357.17 and 189.21

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Solution

The fourth proportional to 258.94, 357.17 and 189.21 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.94 : 357.17 = 189.21 : x
  2. Step 2: Convert to fraction form
    258.94/357.17 = 189.21/x
  3. Step 3: Cross multiply
    258.94x = 357.17 × 189.21
  4. Step 4: Simplify right side
    258.94x = 67,579.19
  5. Step 5: Solve for x
    x = 67,579.19/258.94
  6. Step 6: Final answer
    x = 260.99

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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.