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Finding the Fourth Proportional to 290.18, 400.26 and 185.30

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Solution

The fourth proportional to 290.18, 400.26 and 185.30 is: 255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.18 : 400.26 = 185.30 : x
  2. Step 2: Convert to fraction form
    290.18/400.26 = 185.30/x
  3. Step 3: Cross multiply
    290.18x = 400.26 × 185.30
  4. Step 4: Simplify right side
    290.18x = 74,168.18
  5. Step 5: Solve for x
    x = 74,168.18/290.18
  6. Step 6: Final answer
    x = 255.59

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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.