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Finding the Fourth Proportional to 491.97, 737.85 and 183.81

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Solution

The fourth proportional to 491.97, 737.85 and 183.81 is: 275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.97 : 737.85 = 183.81 : x
  2. Step 2: Convert to fraction form
    491.97/737.85 = 183.81/x
  3. Step 3: Cross multiply
    491.97x = 737.85 × 183.81
  4. Step 4: Simplify right side
    491.97x = 135,624.21
  5. Step 5: Solve for x
    x = 135,624.21/491.97
  6. Step 6: Final answer
    x = 275.68

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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.