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Finding the Fourth Proportional to 491.54, 737.45 and 166.91

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Solution

The fourth proportional to 491.54, 737.45 and 166.91 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.54 : 737.45 = 166.91 : x
  2. Step 2: Convert to fraction form
    491.54/737.45 = 166.91/x
  3. Step 3: Cross multiply
    491.54x = 737.45 × 166.91
  4. Step 4: Simplify right side
    491.54x = 123,086.94
  5. Step 5: Solve for x
    x = 123,086.94/491.54
  6. Step 6: Final answer
    x = 250.41

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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.