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Finding the Fourth Proportional to 290.99, 401.57 and 166.64

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Solution

The fourth proportional to 290.99, 401.57 and 166.64 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.99 : 401.57 = 166.64 : x
  2. Step 2: Convert to fraction form
    290.99/401.57 = 166.64/x
  3. Step 3: Cross multiply
    290.99x = 401.57 × 166.64
  4. Step 4: Simplify right side
    290.99x = 66,915.41
  5. Step 5: Solve for x
    x = 66,915.41/290.99
  6. Step 6: Final answer
    x = 229.96

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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.