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Finding the Fourth Proportional to 245.66, 338.43 and 206.24

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Solution

The fourth proportional to 245.66, 338.43 and 206.24 is: 284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.66 : 338.43 = 206.24 : x
  2. Step 2: Convert to fraction form
    245.66/338.43 = 206.24/x
  3. Step 3: Cross multiply
    245.66x = 338.43 × 206.24
  4. Step 4: Simplify right side
    245.66x = 69,797.80
  5. Step 5: Solve for x
    x = 69,797.80/245.66
  6. Step 6: Final answer
    x = 284.12

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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.