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Finding the Fourth Proportional to 337.15, 465.19 and 197.23

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Solution

The fourth proportional to 337.15, 465.19 and 197.23 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.15 : 465.19 = 197.23 : x
  2. Step 2: Convert to fraction form
    337.15/465.19 = 197.23/x
  3. Step 3: Cross multiply
    337.15x = 465.19 × 197.23
  4. Step 4: Simplify right side
    337.15x = 91,749.42
  5. Step 5: Solve for x
    x = 91,749.42/337.15
  6. Step 6: Final answer
    x = 272.13

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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.