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Finding the Fourth Proportional to 293.82, 441.81 and 203.10

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Solution

The fourth proportional to 293.82, 441.81 and 203.10 is: 305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.82 : 441.81 = 203.10 : x
  2. Step 2: Convert to fraction form
    293.82/441.81 = 203.10/x
  3. Step 3: Cross multiply
    293.82x = 441.81 × 203.10
  4. Step 4: Simplify right side
    293.82x = 89,731.61
  5. Step 5: Solve for x
    x = 89,731.61/293.82
  6. Step 6: Final answer
    x = 305.40

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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.