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Finding the Fourth Proportional to 331.24, 457.14 and 200.32

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Solution

The fourth proportional to 331.24, 457.14 and 200.32 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.24 : 457.14 = 200.32 : x
  2. Step 2: Convert to fraction form
    331.24/457.14 = 200.32/x
  3. Step 3: Cross multiply
    331.24x = 457.14 × 200.32
  4. Step 4: Simplify right side
    331.24x = 91,574.28
  5. Step 5: Solve for x
    x = 91,574.28/331.24
  6. Step 6: Final answer
    x = 276.46

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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.