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Finding the Fourth Proportional to 258.92, 357.17 and 160.50

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Solution

The fourth proportional to 258.92, 357.17 and 160.50 is: 221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 357.17 = 160.50 : x
  2. Step 2: Convert to fraction form
    258.92/357.17 = 160.50/x
  3. Step 3: Cross multiply
    258.92x = 357.17 × 160.50
  4. Step 4: Simplify right side
    258.92x = 57,328.04
  5. Step 5: Solve for x
    x = 57,328.04/258.92
  6. Step 6: Final answer
    x = 221.41

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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.