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Finding the Fourth Proportional to 255.62, 352.64 and 168.26

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Solution

The fourth proportional to 255.62, 352.64 and 168.26 is: 232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.62 : 352.64 = 168.26 : x
  2. Step 2: Convert to fraction form
    255.62/352.64 = 168.26/x
  3. Step 3: Cross multiply
    255.62x = 352.64 × 168.26
  4. Step 4: Simplify right side
    255.62x = 59,335.21
  5. Step 5: Solve for x
    x = 59,335.21/255.62
  6. Step 6: Final answer
    x = 232.12

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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.