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Finding the Fourth Proportional to 255.67, 352.91 and 209.55

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Solution

The fourth proportional to 255.67, 352.91 and 209.55 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.67 : 352.91 = 209.55 : x
  2. Step 2: Convert to fraction form
    255.67/352.91 = 209.55/x
  3. Step 3: Cross multiply
    255.67x = 352.91 × 209.55
  4. Step 4: Simplify right side
    255.67x = 73,954.14
  5. Step 5: Solve for x
    x = 73,954.14/255.67
  6. Step 6: Final answer
    x = 289.26

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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.