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Finding the Fourth Proportional to 255.74, 352.73 and 247.26

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Solution

The fourth proportional to 255.74, 352.73 and 247.26 is: 341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.74 : 352.73 = 247.26 : x
  2. Step 2: Convert to fraction form
    255.74/352.73 = 247.26/x
  3. Step 3: Cross multiply
    255.74x = 352.73 × 247.26
  4. Step 4: Simplify right side
    255.74x = 87,214.78
  5. Step 5: Solve for x
    x = 87,214.78/255.74
  6. Step 6: Final answer
    x = 341.04

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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.