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Finding the Fourth Proportional to 343.08, 514.08 and 198.36

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Solution

The fourth proportional to 343.08, 514.08 and 198.36 is: 297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 514.08 = 198.36 : x
  2. Step 2: Convert to fraction form
    343.08/514.08 = 198.36/x
  3. Step 3: Cross multiply
    343.08x = 514.08 × 198.36
  4. Step 4: Simplify right side
    343.08x = 101,972.91
  5. Step 5: Solve for x
    x = 101,972.91/343.08
  6. Step 6: Final answer
    x = 297.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.