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Finding the Fourth Proportional to 212.63, 319.41 and 131.36

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Solution

The fourth proportional to 212.63, 319.41 and 131.36 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 319.41 = 131.36 : x
  2. Step 2: Convert to fraction form
    212.63/319.41 = 131.36/x
  3. Step 3: Cross multiply
    212.63x = 319.41 × 131.36
  4. Step 4: Simplify right side
    212.63x = 41,956.10
  5. Step 5: Solve for x
    x = 41,956.10/212.63
  6. Step 6: Final answer
    x = 197.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.