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Finding the Fourth Proportional to 314.08, 433.49 and 196.10

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Solution

The fourth proportional to 314.08, 433.49 and 196.10 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 433.49 = 196.10 : x
  2. Step 2: Convert to fraction form
    314.08/433.49 = 196.10/x
  3. Step 3: Cross multiply
    314.08x = 433.49 × 196.10
  4. Step 4: Simplify right side
    314.08x = 85,008.30
  5. Step 5: Solve for x
    x = 85,008.30/314.08
  6. Step 6: Final answer
    x = 270.66

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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.