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Finding the Fourth Proportional to 343.40, 515.14 and 99.96

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Solution

The fourth proportional to 343.40, 515.14 and 99.96 is: 149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 515.14 = 99.96 : x
  2. Step 2: Convert to fraction form
    343.40/515.14 = 99.96/x
  3. Step 3: Cross multiply
    343.40x = 515.14 × 99.96
  4. Step 4: Simplify right side
    343.40x = 51,493.39
  5. Step 5: Solve for x
    x = 51,493.39/343.40
  6. Step 6: Final answer
    x = 149.95

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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.