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Finding the Fourth Proportional to 491.53, 736.82 and 166.72

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Solution

The fourth proportional to 491.53, 736.82 and 166.72 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.53 : 736.82 = 166.72 : x
  2. Step 2: Convert to fraction form
    491.53/736.82 = 166.72/x
  3. Step 3: Cross multiply
    491.53x = 736.82 × 166.72
  4. Step 4: Simplify right side
    491.53x = 122,842.63
  5. Step 5: Solve for x
    x = 122,842.63/491.53
  6. Step 6: Final answer
    x = 249.92

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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.