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Finding the Fourth Proportional to 255.23, 352.42 and 166.77

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Solution

The fourth proportional to 255.23, 352.42 and 166.77 is: 230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.23 : 352.42 = 166.77 : x
  2. Step 2: Convert to fraction form
    255.23/352.42 = 166.77/x
  3. Step 3: Cross multiply
    255.23x = 352.42 × 166.77
  4. Step 4: Simplify right side
    255.23x = 58,772.67
  5. Step 5: Solve for x
    x = 58,772.67/255.23
  6. Step 6: Final answer
    x = 230.27

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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.