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Finding the Fourth Proportional to 256.40, 385.24 and 227.92

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Solution

The fourth proportional to 256.40, 385.24 and 227.92 is: 342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 385.24 = 227.92 : x
  2. Step 2: Convert to fraction form
    256.40/385.24 = 227.92/x
  3. Step 3: Cross multiply
    256.40x = 385.24 × 227.92
  4. Step 4: Simplify right side
    256.40x = 87,803.90
  5. Step 5: Solve for x
    x = 87,803.90/256.40
  6. Step 6: Final answer
    x = 342.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.