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Finding the Fourth Proportional to 290.26, 400.44 and 212.50

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Solution

The fourth proportional to 290.26, 400.44 and 212.50 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.26 : 400.44 = 212.50 : x
  2. Step 2: Convert to fraction form
    290.26/400.44 = 212.50/x
  3. Step 3: Cross multiply
    290.26x = 400.44 × 212.50
  4. Step 4: Simplify right side
    290.26x = 85,093.50
  5. Step 5: Solve for x
    x = 85,093.50/290.26
  6. Step 6: Final answer
    x = 293.16

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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.