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Finding the Fourth Proportional to 322.93, 445.85 and 204.96

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Solution

The fourth proportional to 322.93, 445.85 and 204.96 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.93 : 445.85 = 204.96 : x
  2. Step 2: Convert to fraction form
    322.93/445.85 = 204.96/x
  3. Step 3: Cross multiply
    322.93x = 445.85 × 204.96
  4. Step 4: Simplify right side
    322.93x = 91,381.42
  5. Step 5: Solve for x
    x = 91,381.42/322.93
  6. Step 6: Final answer
    x = 282.98

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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.