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Finding the Fourth Proportional to 247.49, 342.19 and 206.03

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Solution

The fourth proportional to 247.49, 342.19 and 206.03 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.49 : 342.19 = 206.03 : x
  2. Step 2: Convert to fraction form
    247.49/342.19 = 206.03/x
  3. Step 3: Cross multiply
    247.49x = 342.19 × 206.03
  4. Step 4: Simplify right side
    247.49x = 70,501.41
  5. Step 5: Solve for x
    x = 70,501.41/247.49
  6. Step 6: Final answer
    x = 284.87

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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.