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Finding the Fourth Proportional to 556.29, 834.57 and 166.33

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Solution

The fourth proportional to 556.29, 834.57 and 166.33 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 834.57 = 166.33 : x
  2. Step 2: Convert to fraction form
    556.29/834.57 = 166.33/x
  3. Step 3: Cross multiply
    556.29x = 834.57 × 166.33
  4. Step 4: Simplify right side
    556.29x = 138,812.57
  5. Step 5: Solve for x
    x = 138,812.57/556.29
  6. Step 6: Final answer
    x = 249.53

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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.