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Finding the Fourth Proportional to 212.63, 319.14 and 135.63

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Solution

The fourth proportional to 212.63, 319.14 and 135.63 is: 203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 319.14 = 135.63 : x
  2. Step 2: Convert to fraction form
    212.63/319.14 = 135.63/x
  3. Step 3: Cross multiply
    212.63x = 319.14 × 135.63
  4. Step 4: Simplify right side
    212.63x = 43,284.96
  5. Step 5: Solve for x
    x = 43,284.96/212.63
  6. Step 6: Final answer
    x = 203.57

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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.