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Finding the Fourth Proportional to 556.58, 834.71 and 166.56

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Solution

The fourth proportional to 556.58, 834.71 and 166.56 is: 249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.58 : 834.71 = 166.56 : x
  2. Step 2: Convert to fraction form
    556.58/834.71 = 166.56/x
  3. Step 3: Cross multiply
    556.58x = 834.71 × 166.56
  4. Step 4: Simplify right side
    556.58x = 139,028.46
  5. Step 5: Solve for x
    x = 139,028.46/556.58
  6. Step 6: Final answer
    x = 249.79

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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.