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Finding the Fourth Proportional to 255.47, 352.14 and 166.79

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Solution

The fourth proportional to 255.47, 352.14 and 166.79 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.47 : 352.14 = 166.79 : x
  2. Step 2: Convert to fraction form
    255.47/352.14 = 166.79/x
  3. Step 3: Cross multiply
    255.47x = 352.14 × 166.79
  4. Step 4: Simplify right side
    255.47x = 58,734.94
  5. Step 5: Solve for x
    x = 58,734.94/255.47
  6. Step 6: Final answer
    x = 229.91

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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.