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Finding the Fourth Proportional to 293.56, 405.48 and 206.68

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Solution

The fourth proportional to 293.56, 405.48 and 206.68 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.56 : 405.48 = 206.68 : x
  2. Step 2: Convert to fraction form
    293.56/405.48 = 206.68/x
  3. Step 3: Cross multiply
    293.56x = 405.48 × 206.68
  4. Step 4: Simplify right side
    293.56x = 83,804.61
  5. Step 5: Solve for x
    x = 83,804.61/293.56
  6. Step 6: Final answer
    x = 285.48

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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.