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Finding the Fourth Proportional to 255.20, 352.04 and 161.78

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Solution

The fourth proportional to 255.20, 352.04 and 161.78 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.20 : 352.04 = 161.78 : x
  2. Step 2: Convert to fraction form
    255.20/352.04 = 161.78/x
  3. Step 3: Cross multiply
    255.20x = 352.04 × 161.78
  4. Step 4: Simplify right side
    255.20x = 56,953.03
  5. Step 5: Solve for x
    x = 56,953.03/255.20
  6. Step 6: Final answer
    x = 223.17

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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.