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Finding the Fourth Proportional to 332, 458 and 200.96

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Solution

The fourth proportional to 332, 458 and 200.96 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332 : 458 = 200.96 : x
  2. Step 2: Convert to fraction form
    332/458 = 200.96/x
  3. Step 3: Cross multiply
    332x = 458 × 200.96
  4. Step 4: Simplify right side
    332x = 92,039.68
  5. Step 5: Solve for x
    x = 92,039.68/332
  6. Step 6: Final answer
    x = 277.23

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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.