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Finding the Fourth Proportional to 337.00, 505.31 and 200.14

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Solution

The fourth proportional to 337.00, 505.31 and 200.14 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.00 : 505.31 = 200.14 : x
  2. Step 2: Convert to fraction form
    337.00/505.31 = 200.14/x
  3. Step 3: Cross multiply
    337.00x = 505.31 × 200.14
  4. Step 4: Simplify right side
    337.00x = 101,130.48
  5. Step 5: Solve for x
    x = 101,130.48/337.00
  6. Step 6: Final answer
    x = 300.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.