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Finding the Fourth Proportional to 258.26, 385.59 and 255.66

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Solution

The fourth proportional to 258.26, 385.59 and 255.66 is: 381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.26 : 385.59 = 255.66 : x
  2. Step 2: Convert to fraction form
    258.26/385.59 = 255.66/x
  3. Step 3: Cross multiply
    258.26x = 385.59 × 255.66
  4. Step 4: Simplify right side
    258.26x = 98,579.45
  5. Step 5: Solve for x
    x = 98,579.45/258.26
  6. Step 6: Final answer
    x = 381.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.