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Finding the Fourth Proportional to 343.46, 514.52 and 206.10

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Solution

The fourth proportional to 343.46, 514.52 and 206.10 is: 308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 514.52 = 206.10 : x
  2. Step 2: Convert to fraction form
    343.46/514.52 = 206.10/x
  3. Step 3: Cross multiply
    343.46x = 514.52 × 206.10
  4. Step 4: Simplify right side
    343.46x = 106,042.31
  5. Step 5: Solve for x
    x = 106,042.31/343.46
  6. Step 6: Final answer
    x = 308.74

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