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Finding the Fourth Proportional to 337.09, 465.10 and 197.19

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Solution

The fourth proportional to 337.09, 465.10 and 197.19 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.09 : 465.10 = 197.19 : x
  2. Step 2: Convert to fraction form
    337.09/465.10 = 197.19/x
  3. Step 3: Cross multiply
    337.09x = 465.10 × 197.19
  4. Step 4: Simplify right side
    337.09x = 91,713.07
  5. Step 5: Solve for x
    x = 91,713.07/337.09
  6. Step 6: Final answer
    x = 272.07

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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.