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Finding the Fourth Proportional to 293.63, 405.61 and 206.15

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Solution

The fourth proportional to 293.63, 405.61 and 206.15 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 405.61 = 206.15 : x
  2. Step 2: Convert to fraction form
    293.63/405.61 = 206.15/x
  3. Step 3: Cross multiply
    293.63x = 405.61 × 206.15
  4. Step 4: Simplify right side
    293.63x = 83,613.96
  5. Step 5: Solve for x
    x = 83,613.96/293.63
  6. Step 6: Final answer
    x = 284.76

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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.