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Finding the Fourth Proportional to 293.92, 442.73 and 240.48

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Solution

The fourth proportional to 293.92, 442.73 and 240.48 is: 362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.92 : 442.73 = 240.48 : x
  2. Step 2: Convert to fraction form
    293.92/442.73 = 240.48/x
  3. Step 3: Cross multiply
    293.92x = 442.73 × 240.48
  4. Step 4: Simplify right side
    293.92x = 106,467.71
  5. Step 5: Solve for x
    x = 106,467.71/293.92
  6. Step 6: Final answer
    x = 362.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.