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Finding the Fourth Proportional to 313.19, 432.14 and 196.69

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Solution

The fourth proportional to 313.19, 432.14 and 196.69 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.19 : 432.14 = 196.69 : x
  2. Step 2: Convert to fraction form
    313.19/432.14 = 196.69/x
  3. Step 3: Cross multiply
    313.19x = 432.14 × 196.69
  4. Step 4: Simplify right side
    313.19x = 84,997.03
  5. Step 5: Solve for x
    x = 84,997.03/313.19
  6. Step 6: Final answer
    x = 271.39

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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.