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Finding the Fourth Proportional to 255.66, 352.34 and 208.89

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Solution

The fourth proportional to 255.66, 352.34 and 208.89 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 352.34 = 208.89 : x
  2. Step 2: Convert to fraction form
    255.66/352.34 = 208.89/x
  3. Step 3: Cross multiply
    255.66x = 352.34 × 208.89
  4. Step 4: Simplify right side
    255.66x = 73,599.64
  5. Step 5: Solve for x
    x = 73,599.64/255.66
  6. Step 6: Final answer
    x = 287.88

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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.