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Finding the Fourth Proportional to 212.78, 319.22 and 89.36

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Solution

The fourth proportional to 212.78, 319.22 and 89.36 is: 134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.78 : 319.22 = 89.36 : x
  2. Step 2: Convert to fraction form
    212.78/319.22 = 89.36/x
  3. Step 3: Cross multiply
    212.78x = 319.22 × 89.36
  4. Step 4: Simplify right side
    212.78x = 28,525.53
  5. Step 5: Solve for x
    x = 28,525.53/212.78
  6. Step 6: Final answer
    x = 134.06

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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.