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Finding the Fourth Proportional to 247.66, 342.23 and 205.59

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Solution

The fourth proportional to 247.66, 342.23 and 205.59 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.66 : 342.23 = 205.59 : x
  2. Step 2: Convert to fraction form
    247.66/342.23 = 205.59/x
  3. Step 3: Cross multiply
    247.66x = 342.23 × 205.59
  4. Step 4: Simplify right side
    247.66x = 70,357.40
  5. Step 5: Solve for x
    x = 70,357.40/247.66
  6. Step 6: Final answer
    x = 284.09

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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.