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Finding the Fourth Proportional to 343.43, 514.99 and 137.84

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Solution

The fourth proportional to 343.43, 514.99 and 137.84 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.43 : 514.99 = 137.84 : x
  2. Step 2: Convert to fraction form
    343.43/514.99 = 137.84/x
  3. Step 3: Cross multiply
    343.43x = 514.99 × 137.84
  4. Step 4: Simplify right side
    343.43x = 70,986.22
  5. Step 5: Solve for x
    x = 70,986.22/343.43
  6. Step 6: Final answer
    x = 206.70

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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.