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Finding the Fourth Proportional to 293.05, 403.86 and 230.82

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Solution

The fourth proportional to 293.05, 403.86 and 230.82 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.05 : 403.86 = 230.82 : x
  2. Step 2: Convert to fraction form
    293.05/403.86 = 230.82/x
  3. Step 3: Cross multiply
    293.05x = 403.86 × 230.82
  4. Step 4: Simplify right side
    293.05x = 93,218.97
  5. Step 5: Solve for x
    x = 93,218.97/293.05
  6. Step 6: Final answer
    x = 318.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.