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Finding the Fourth Proportional to 491.21, 736.82 and 166.57

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Solution

The fourth proportional to 491.21, 736.82 and 166.57 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.21 : 736.82 = 166.57 : x
  2. Step 2: Convert to fraction form
    491.21/736.82 = 166.57/x
  3. Step 3: Cross multiply
    491.21x = 736.82 × 166.57
  4. Step 4: Simplify right side
    491.21x = 122,732.11
  5. Step 5: Solve for x
    x = 122,732.11/491.21
  6. Step 6: Final answer
    x = 249.86

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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.