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Finding the Fourth Proportional to 293.31, 439.02 and 242.73

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Solution

The fourth proportional to 293.31, 439.02 and 242.73 is: 363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.31 : 439.02 = 242.73 : x
  2. Step 2: Convert to fraction form
    293.31/439.02 = 242.73/x
  3. Step 3: Cross multiply
    293.31x = 439.02 × 242.73
  4. Step 4: Simplify right side
    293.31x = 106,563.32
  5. Step 5: Solve for x
    x = 106,563.32/293.31
  6. Step 6: Final answer
    x = 363.31

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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.