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Finding the Fourth Proportional to 491.46, 737.17 and 166.83

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Solution

The fourth proportional to 491.46, 737.17 and 166.83 is: 250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.46 : 737.17 = 166.83 : x
  2. Step 2: Convert to fraction form
    491.46/737.17 = 166.83/x
  3. Step 3: Cross multiply
    491.46x = 737.17 × 166.83
  4. Step 4: Simplify right side
    491.46x = 122,982.07
  5. Step 5: Solve for x
    x = 122,982.07/491.46
  6. Step 6: Final answer
    x = 250.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.