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Finding the Fourth Proportional to 343.59, 514.56 and 198.87

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Solution

The fourth proportional to 343.59, 514.56 and 198.87 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 514.56 = 198.87 : x
  2. Step 2: Convert to fraction form
    343.59/514.56 = 198.87/x
  3. Step 3: Cross multiply
    343.59x = 514.56 × 198.87
  4. Step 4: Simplify right side
    343.59x = 102,330.55
  5. Step 5: Solve for x
    x = 102,330.55/343.59
  6. Step 6: Final answer
    x = 297.83

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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.