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Finding the Fourth Proportional to 293.18, 439.84 and 201.92

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Solution

The fourth proportional to 293.18, 439.84 and 201.92 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.18 : 439.84 = 201.92 : x
  2. Step 2: Convert to fraction form
    293.18/439.84 = 201.92/x
  3. Step 3: Cross multiply
    293.18x = 439.84 × 201.92
  4. Step 4: Simplify right side
    293.18x = 88,812.49
  5. Step 5: Solve for x
    x = 88,812.49/293.18
  6. Step 6: Final answer
    x = 302.93

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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.