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Finding the Fourth Proportional to 345.11, 516.96 and 208.07

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Solution

The fourth proportional to 345.11, 516.96 and 208.07 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.11 : 516.96 = 208.07 : x
  2. Step 2: Convert to fraction form
    345.11/516.96 = 208.07/x
  3. Step 3: Cross multiply
    345.11x = 516.96 × 208.07
  4. Step 4: Simplify right side
    345.11x = 107,561.28
  5. Step 5: Solve for x
    x = 107,561.28/345.11
  6. Step 6: Final answer
    x = 311.68

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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.