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Finding the Fourth Proportional to 255.04, 351.87 and 161.73

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Solution

The fourth proportional to 255.04, 351.87 and 161.73 is: 223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.04 : 351.87 = 161.73 : x
  2. Step 2: Convert to fraction form
    255.04/351.87 = 161.73/x
  3. Step 3: Cross multiply
    255.04x = 351.87 × 161.73
  4. Step 4: Simplify right side
    255.04x = 56,907.94
  5. Step 5: Solve for x
    x = 56,907.94/255.04
  6. Step 6: Final answer
    x = 223.13

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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.