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Finding the Fourth Proportional to 212.96, 319.97 and 135.96

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Solution

The fourth proportional to 212.96, 319.97 and 135.96 is: 204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 319.97 = 135.96 : x
  2. Step 2: Convert to fraction form
    212.96/319.97 = 135.96/x
  3. Step 3: Cross multiply
    212.96x = 319.97 × 135.96
  4. Step 4: Simplify right side
    212.96x = 43,503.12
  5. Step 5: Solve for x
    x = 43,503.12/212.96
  6. Step 6: Final answer
    x = 204.28

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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.