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Finding the Fourth Proportional to 290.61, 401.07 and 166.28

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Solution

The fourth proportional to 290.61, 401.07 and 166.28 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.61 : 401.07 = 166.28 : x
  2. Step 2: Convert to fraction form
    290.61/401.07 = 166.28/x
  3. Step 3: Cross multiply
    290.61x = 401.07 × 166.28
  4. Step 4: Simplify right side
    290.61x = 66,689.92
  5. Step 5: Solve for x
    x = 66,689.92/290.61
  6. Step 6: Final answer
    x = 229.48

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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.