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Finding the Fourth Proportional to 255.43, 352.65 and 162.31

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Solution

The fourth proportional to 255.43, 352.65 and 162.31 is: 224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.43 : 352.65 = 162.31 : x
  2. Step 2: Convert to fraction form
    255.43/352.65 = 162.31/x
  3. Step 3: Cross multiply
    255.43x = 352.65 × 162.31
  4. Step 4: Simplify right side
    255.43x = 57,238.62
  5. Step 5: Solve for x
    x = 57,238.62/255.43
  6. Step 6: Final answer
    x = 224.09

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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.