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Finding the Fourth Proportional to 337.00, 464.90 and 197.12

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Solution

The fourth proportional to 337.00, 464.90 and 197.12 is: 271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.00 : 464.90 = 197.12 : x
  2. Step 2: Convert to fraction form
    337.00/464.90 = 197.12/x
  3. Step 3: Cross multiply
    337.00x = 464.90 × 197.12
  4. Step 4: Simplify right side
    337.00x = 91,642.00
  5. Step 5: Solve for x
    x = 91,642.00/337.00
  6. Step 6: Final answer
    x = 271.94

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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.