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Finding the Fourth Proportional to 556.56, 834.77 and 166.56

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Solution

The fourth proportional to 556.56, 834.77 and 166.56 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 834.77 = 166.56 : x
  2. Step 2: Convert to fraction form
    556.56/834.77 = 166.56/x
  3. Step 3: Cross multiply
    556.56x = 834.77 × 166.56
  4. Step 4: Simplify right side
    556.56x = 139,039.29
  5. Step 5: Solve for x
    x = 139,039.29/556.56
  6. Step 6: Final answer
    x = 249.82

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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.