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Finding the Fourth Proportional to 313.20, 432.24 and 196.74

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Solution

The fourth proportional to 313.20, 432.24 and 196.74 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 432.24 = 196.74 : x
  2. Step 2: Convert to fraction form
    313.20/432.24 = 196.74/x
  3. Step 3: Cross multiply
    313.20x = 432.24 × 196.74
  4. Step 4: Simplify right side
    313.20x = 85,038.90
  5. Step 5: Solve for x
    x = 85,038.90/313.20
  6. Step 6: Final answer
    x = 271.52

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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.