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Finding the Fourth Proportional to 340.92, 511.43 and 178.56

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Solution

The fourth proportional to 340.92, 511.43 and 178.56 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 511.43 = 178.56 : x
  2. Step 2: Convert to fraction form
    340.92/511.43 = 178.56/x
  3. Step 3: Cross multiply
    340.92x = 511.43 × 178.56
  4. Step 4: Simplify right side
    340.92x = 91,320.05
  5. Step 5: Solve for x
    x = 91,320.05/340.92
  6. Step 6: Final answer
    x = 267.86

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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.