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Finding the Fourth Proportional to 210.73, 290.49 and 166.99

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Solution

The fourth proportional to 210.73, 290.49 and 166.99 is: 230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.73 : 290.49 = 166.99 : x
  2. Step 2: Convert to fraction form
    210.73/290.49 = 166.99/x
  3. Step 3: Cross multiply
    210.73x = 290.49 × 166.99
  4. Step 4: Simplify right side
    210.73x = 48,508.93
  5. Step 5: Solve for x
    x = 48,508.93/210.73
  6. Step 6: Final answer
    x = 230.19

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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.