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Finding the Fourth Proportional to 255.22, 351.89 and 211.14

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Solution

The fourth proportional to 255.22, 351.89 and 211.14 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.22 : 351.89 = 211.14 : x
  2. Step 2: Convert to fraction form
    255.22/351.89 = 211.14/x
  3. Step 3: Cross multiply
    255.22x = 351.89 × 211.14
  4. Step 4: Simplify right side
    255.22x = 74,297.88
  5. Step 5: Solve for x
    x = 74,297.88/255.22
  6. Step 6: Final answer
    x = 291.11

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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.