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Finding the Fourth Proportional to 343.96, 516.02 and 100.51

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Solution

The fourth proportional to 343.96, 516.02 and 100.51 is: 150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 516.02 = 100.51 : x
  2. Step 2: Convert to fraction form
    343.96/516.02 = 100.51/x
  3. Step 3: Cross multiply
    343.96x = 516.02 × 100.51
  4. Step 4: Simplify right side
    343.96x = 51,865.17
  5. Step 5: Solve for x
    x = 51,865.17/343.96
  6. Step 6: Final answer
    x = 150.79

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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.