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Finding the Fourth Proportional to 258.86, 357.03 and 160.44

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Solution

The fourth proportional to 258.86, 357.03 and 160.44 is: 221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.86 : 357.03 = 160.44 : x
  2. Step 2: Convert to fraction form
    258.86/357.03 = 160.44/x
  3. Step 3: Cross multiply
    258.86x = 357.03 × 160.44
  4. Step 4: Simplify right side
    258.86x = 57,281.89
  5. Step 5: Solve for x
    x = 57,281.89/258.86
  6. Step 6: Final answer
    x = 221.29

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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.