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Finding the Fourth Proportional to 290.26, 400.26 and 173.80

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Solution

The fourth proportional to 290.26, 400.26 and 173.80 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.26 : 400.26 = 173.80 : x
  2. Step 2: Convert to fraction form
    290.26/400.26 = 173.80/x
  3. Step 3: Cross multiply
    290.26x = 400.26 × 173.80
  4. Step 4: Simplify right side
    290.26x = 69,565.19
  5. Step 5: Solve for x
    x = 69,565.19/290.26
  6. Step 6: Final answer
    x = 239.67

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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.