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Finding the Fourth Proportional to 258.83, 357.16 and 160.55

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Solution

The fourth proportional to 258.83, 357.16 and 160.55 is: 221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 357.16 = 160.55 : x
  2. Step 2: Convert to fraction form
    258.83/357.16 = 160.55/x
  3. Step 3: Cross multiply
    258.83x = 357.16 × 160.55
  4. Step 4: Simplify right side
    258.83x = 57,342.04
  5. Step 5: Solve for x
    x = 57,342.04/258.83
  6. Step 6: Final answer
    x = 221.54

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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.