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Finding the Fourth Proportional to 337.10, 465.08 and 197.26

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Solution

The fourth proportional to 337.10, 465.08 and 197.26 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.10 : 465.08 = 197.26 : x
  2. Step 2: Convert to fraction form
    337.10/465.08 = 197.26/x
  3. Step 3: Cross multiply
    337.10x = 465.08 × 197.26
  4. Step 4: Simplify right side
    337.10x = 91,741.68
  5. Step 5: Solve for x
    x = 91,741.68/337.10
  6. Step 6: Final answer
    x = 272.15

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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.