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Finding the Fourth Proportional to 255.15, 351.81 and 161.79

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Solution

The fourth proportional to 255.15, 351.81 and 161.79 is: 223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.15 : 351.81 = 161.79 : x
  2. Step 2: Convert to fraction form
    255.15/351.81 = 161.79/x
  3. Step 3: Cross multiply
    255.15x = 351.81 × 161.79
  4. Step 4: Simplify right side
    255.15x = 56,919.34
  5. Step 5: Solve for x
    x = 56,919.34/255.15
  6. Step 6: Final answer
    x = 223.08

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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.