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Finding the Fourth Proportional to 314.53, 434.02 and 196.60

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Solution

The fourth proportional to 314.53, 434.02 and 196.60 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.53 : 434.02 = 196.60 : x
  2. Step 2: Convert to fraction form
    314.53/434.02 = 196.60/x
  3. Step 3: Cross multiply
    314.53x = 434.02 × 196.60
  4. Step 4: Simplify right side
    314.53x = 85,329.44
  5. Step 5: Solve for x
    x = 85,329.44/314.53
  6. Step 6: Final answer
    x = 271.29

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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.