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Finding the Fourth Proportional to 255.23, 352.05 and 161.90

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Solution

The fourth proportional to 255.23, 352.05 and 161.90 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.23 : 352.05 = 161.90 : x
  2. Step 2: Convert to fraction form
    255.23/352.05 = 161.90/x
  3. Step 3: Cross multiply
    255.23x = 352.05 × 161.90
  4. Step 4: Simplify right side
    255.23x = 56,995.13
  5. Step 5: Solve for x
    x = 56,995.13/255.23
  6. Step 6: Final answer
    x = 223.31

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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.