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Finding the Fourth Proportional to 313.44, 432.58 and 196.94

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Solution

The fourth proportional to 313.44, 432.58 and 196.94 is: 271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 432.58 = 196.94 : x
  2. Step 2: Convert to fraction form
    313.44/432.58 = 196.94/x
  3. Step 3: Cross multiply
    313.44x = 432.58 × 196.94
  4. Step 4: Simplify right side
    313.44x = 85,192.31
  5. Step 5: Solve for x
    x = 85,192.31/313.44
  6. Step 6: Final answer
    x = 271.80

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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.