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Finding the Fourth Proportional to 556.29, 834.41 and 166.30

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Solution

The fourth proportional to 556.29, 834.41 and 166.30 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 834.41 = 166.30 : x
  2. Step 2: Convert to fraction form
    556.29/834.41 = 166.30/x
  3. Step 3: Cross multiply
    556.29x = 834.41 × 166.30
  4. Step 4: Simplify right side
    556.29x = 138,760.71
  5. Step 5: Solve for x
    x = 138,760.71/556.29
  6. Step 6: Final answer
    x = 249.44

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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.