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Finding the Fourth Proportional to 258.96, 357.24 and 160.83

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Solution

The fourth proportional to 258.96, 357.24 and 160.83 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 357.24 = 160.83 : x
  2. Step 2: Convert to fraction form
    258.96/357.24 = 160.83/x
  3. Step 3: Cross multiply
    258.96x = 357.24 × 160.83
  4. Step 4: Simplify right side
    258.96x = 57,454.91
  5. Step 5: Solve for x
    x = 57,454.91/258.96
  6. Step 6: Final answer
    x = 221.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.