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Finding the Fourth Proportional to 491.01, 736.65 and 166.43

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Solution

The fourth proportional to 491.01, 736.65 and 166.43 is: 249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.01 : 736.65 = 166.43 : x
  2. Step 2: Convert to fraction form
    491.01/736.65 = 166.43/x
  3. Step 3: Cross multiply
    491.01x = 736.65 × 166.43
  4. Step 4: Simplify right side
    491.01x = 122,596.98
  5. Step 5: Solve for x
    x = 122,596.98/491.01
  6. Step 6: Final answer
    x = 249.68

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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.