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Finding the Fourth Proportional to 255.61, 352.15 and 214.44

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Solution

The fourth proportional to 255.61, 352.15 and 214.44 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.61 : 352.15 = 214.44 : x
  2. Step 2: Convert to fraction form
    255.61/352.15 = 214.44/x
  3. Step 3: Cross multiply
    255.61x = 352.15 × 214.44
  4. Step 4: Simplify right side
    255.61x = 75,515.05
  5. Step 5: Solve for x
    x = 75,515.05/255.61
  6. Step 6: Final answer
    x = 295.43

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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.