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Finding the Fourth Proportional to 216.09, 297.90 and 166.89

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Solution

The fourth proportional to 216.09, 297.90 and 166.89 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 297.90 = 166.89 : x
  2. Step 2: Convert to fraction form
    216.09/297.90 = 166.89/x
  3. Step 3: Cross multiply
    216.09x = 297.90 × 166.89
  4. Step 4: Simplify right side
    216.09x = 49,716.53
  5. Step 5: Solve for x
    x = 49,716.53/216.09
  6. Step 6: Final answer
    x = 230.07

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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.