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Finding the Fourth Proportional to 216.73, 299.18 and 146.83

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Solution

The fourth proportional to 216.73, 299.18 and 146.83 is: 202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.73 : 299.18 = 146.83 : x
  2. Step 2: Convert to fraction form
    216.73/299.18 = 146.83/x
  3. Step 3: Cross multiply
    216.73x = 299.18 × 146.83
  4. Step 4: Simplify right side
    216.73x = 43,928.60
  5. Step 5: Solve for x
    x = 43,928.60/216.73
  6. Step 6: Final answer
    x = 202.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.