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Finding the Fourth Proportional to 331.12, 456.70 and 200.04

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Solution

The fourth proportional to 331.12, 456.70 and 200.04 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 456.70 = 200.04 : x
  2. Step 2: Convert to fraction form
    331.12/456.70 = 200.04/x
  3. Step 3: Cross multiply
    331.12x = 456.70 × 200.04
  4. Step 4: Simplify right side
    331.12x = 91,358.27
  5. Step 5: Solve for x
    x = 91,358.27/331.12
  6. Step 6: Final answer
    x = 275.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.