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Finding the Fourth Proportional to 256.36, 351.49 and 251.74

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Solution

The fourth proportional to 256.36, 351.49 and 251.74 is: 345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.36 : 351.49 = 251.74 : x
  2. Step 2: Convert to fraction form
    256.36/351.49 = 251.74/x
  3. Step 3: Cross multiply
    256.36x = 351.49 × 251.74
  4. Step 4: Simplify right side
    256.36x = 88,481.08
  5. Step 5: Solve for x
    x = 88,481.08/256.36
  6. Step 6: Final answer
    x = 345.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.