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Finding the Fourth Proportional to 257.26, 355.05 and 213.52

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Solution

The fourth proportional to 257.26, 355.05 and 213.52 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 355.05 = 213.52 : x
  2. Step 2: Convert to fraction form
    257.26/355.05 = 213.52/x
  3. Step 3: Cross multiply
    257.26x = 355.05 × 213.52
  4. Step 4: Simplify right side
    257.26x = 75,810.28
  5. Step 5: Solve for x
    x = 75,810.28/257.26
  6. Step 6: Final answer
    x = 294.68

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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.