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Finding the Fourth Proportional to 219.36, 302.81 and 166.91

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Solution

The fourth proportional to 219.36, 302.81 and 166.91 is: 230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 302.81 = 166.91 : x
  2. Step 2: Convert to fraction form
    219.36/302.81 = 166.91/x
  3. Step 3: Cross multiply
    219.36x = 302.81 × 166.91
  4. Step 4: Simplify right side
    219.36x = 50,542.02
  5. Step 5: Solve for x
    x = 50,542.02/219.36
  6. Step 6: Final answer
    x = 230.41

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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.