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Finding the Fourth Proportional to 556.63, 834.91 and 166.61

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Solution

The fourth proportional to 556.63, 834.91 and 166.61 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.63 : 834.91 = 166.61 : x
  2. Step 2: Convert to fraction form
    556.63/834.91 = 166.61/x
  3. Step 3: Cross multiply
    556.63x = 834.91 × 166.61
  4. Step 4: Simplify right side
    556.63x = 139,104.36
  5. Step 5: Solve for x
    x = 139,104.36/556.63
  6. Step 6: Final answer
    x = 249.90

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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.