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Finding the Fourth Proportional to 285.05, 393.41 and 206.63

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Solution

The fourth proportional to 285.05, 393.41 and 206.63 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.05 : 393.41 = 206.63 : x
  2. Step 2: Convert to fraction form
    285.05/393.41 = 206.63/x
  3. Step 3: Cross multiply
    285.05x = 393.41 × 206.63
  4. Step 4: Simplify right side
    285.05x = 81,287.31
  5. Step 5: Solve for x
    x = 81,287.31/285.05
  6. Step 6: Final answer
    x = 285.17

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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.