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Finding the Fourth Proportional to 293.96, 441.29 and 206.93

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Solution

The fourth proportional to 293.96, 441.29 and 206.93 is: 310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 441.29 = 206.93 : x
  2. Step 2: Convert to fraction form
    293.96/441.29 = 206.93/x
  3. Step 3: Cross multiply
    293.96x = 441.29 × 206.93
  4. Step 4: Simplify right side
    293.96x = 91,316.14
  5. Step 5: Solve for x
    x = 91,316.14/293.96
  6. Step 6: Final answer
    x = 310.64

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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.