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Finding the Fourth Proportional to 331.14, 457.02 and 200.16

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Solution

The fourth proportional to 331.14, 457.02 and 200.16 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.14 : 457.02 = 200.16 : x
  2. Step 2: Convert to fraction form
    331.14/457.02 = 200.16/x
  3. Step 3: Cross multiply
    331.14x = 457.02 × 200.16
  4. Step 4: Simplify right side
    331.14x = 91,477.12
  5. Step 5: Solve for x
    x = 91,477.12/331.14
  6. Step 6: Final answer
    x = 276.25

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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.