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Finding the Fourth Proportional to 337.08, 465.15 and 197.20

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Solution

The fourth proportional to 337.08, 465.15 and 197.20 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.08 : 465.15 = 197.20 : x
  2. Step 2: Convert to fraction form
    337.08/465.15 = 197.20/x
  3. Step 3: Cross multiply
    337.08x = 465.15 × 197.20
  4. Step 4: Simplify right side
    337.08x = 91,727.58
  5. Step 5: Solve for x
    x = 91,727.58/337.08
  6. Step 6: Final answer
    x = 272.12

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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.