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Finding the Fourth Proportional to 313.69, 432.92 and 197.25

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Solution

The fourth proportional to 313.69, 432.92 and 197.25 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.69 : 432.92 = 197.25 : x
  2. Step 2: Convert to fraction form
    313.69/432.92 = 197.25/x
  3. Step 3: Cross multiply
    313.69x = 432.92 × 197.25
  4. Step 4: Simplify right side
    313.69x = 85,393.47
  5. Step 5: Solve for x
    x = 85,393.47/313.69
  6. Step 6: Final answer
    x = 272.22

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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.