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Finding the Fourth Proportional to 207.21, 310.77 and 78.96

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Solution

The fourth proportional to 207.21, 310.77 and 78.96 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.21 : 310.77 = 78.96 : x
  2. Step 2: Convert to fraction form
    207.21/310.77 = 78.96/x
  3. Step 3: Cross multiply
    207.21x = 310.77 × 78.96
  4. Step 4: Simplify right side
    207.21x = 24,538.40
  5. Step 5: Solve for x
    x = 24,538.40/207.21
  6. Step 6: Final answer
    x = 118.42

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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.