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Finding the Fourth Proportional to 331.23, 457.10 and 206.89

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Solution

The fourth proportional to 331.23, 457.10 and 206.89 is: 285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.23 : 457.10 = 206.89 : x
  2. Step 2: Convert to fraction form
    331.23/457.10 = 206.89/x
  3. Step 3: Cross multiply
    331.23x = 457.10 × 206.89
  4. Step 4: Simplify right side
    331.23x = 94,569.73
  5. Step 5: Solve for x
    x = 94,569.73/331.23
  6. Step 6: Final answer
    x = 285.51

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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.