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Finding the Fourth Proportional to 256.74, 354.25 and 182.25

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Solution

The fourth proportional to 256.74, 354.25 and 182.25 is: 251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 354.25 = 182.25 : x
  2. Step 2: Convert to fraction form
    256.74/354.25 = 182.25/x
  3. Step 3: Cross multiply
    256.74x = 354.25 × 182.25
  4. Step 4: Simplify right side
    256.74x = 64,561.78
  5. Step 5: Solve for x
    x = 64,561.78/256.74
  6. Step 6: Final answer
    x = 251.46

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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.