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Finding the Fourth Proportional to 337.13, 465.23 and 197.27

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Solution

The fourth proportional to 337.13, 465.23 and 197.27 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.13 : 465.23 = 197.27 : x
  2. Step 2: Convert to fraction form
    337.13/465.23 = 197.27/x
  3. Step 3: Cross multiply
    337.13x = 465.23 × 197.27
  4. Step 4: Simplify right side
    337.13x = 91,774.94
  5. Step 5: Solve for x
    x = 91,774.94/337.13
  6. Step 6: Final answer
    x = 272.22

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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.