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Finding the Fourth Proportional to 313.61, 432.74 and 197.24

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Solution

The fourth proportional to 313.61, 432.74 and 197.24 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 432.74 = 197.24 : x
  2. Step 2: Convert to fraction form
    313.61/432.74 = 197.24/x
  3. Step 3: Cross multiply
    313.61x = 432.74 × 197.24
  4. Step 4: Simplify right side
    313.61x = 85,351.97
  5. Step 5: Solve for x
    x = 85,351.97/313.61
  6. Step 6: Final answer
    x = 272.16

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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.