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Finding the Fourth Proportional to 349.05, 523.17 and 166.19

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Solution

The fourth proportional to 349.05, 523.17 and 166.19 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.05 : 523.17 = 166.19 : x
  2. Step 2: Convert to fraction form
    349.05/523.17 = 166.19/x
  3. Step 3: Cross multiply
    349.05x = 523.17 × 166.19
  4. Step 4: Simplify right side
    349.05x = 86,943.01
  5. Step 5: Solve for x
    x = 86,943.01/349.05
  6. Step 6: Final answer
    x = 249.08

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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.