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Finding the Fourth Proportional to 212.82, 318.96 and 207.72

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Solution

The fourth proportional to 212.82, 318.96 and 207.72 is: 311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 318.96 = 207.72 : x
  2. Step 2: Convert to fraction form
    212.82/318.96 = 207.72/x
  3. Step 3: Cross multiply
    212.82x = 318.96 × 207.72
  4. Step 4: Simplify right side
    212.82x = 66,254.37
  5. Step 5: Solve for x
    x = 66,254.37/212.82
  6. Step 6: Final answer
    x = 311.32

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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.