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Finding the Fourth Proportional to 247.68, 341.12 and 206.08

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Solution

The fourth proportional to 247.68, 341.12 and 206.08 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.68 : 341.12 = 206.08 : x
  2. Step 2: Convert to fraction form
    247.68/341.12 = 206.08/x
  3. Step 3: Cross multiply
    247.68x = 341.12 × 206.08
  4. Step 4: Simplify right side
    247.68x = 70,298.01
  5. Step 5: Solve for x
    x = 70,298.01/247.68
  6. Step 6: Final answer
    x = 283.83

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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.