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Finding the Fourth Proportional to 207.36, 310.74 and 109.92

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Solution

The fourth proportional to 207.36, 310.74 and 109.92 is: 164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 310.74 = 109.92 : x
  2. Step 2: Convert to fraction form
    207.36/310.74 = 109.92/x
  3. Step 3: Cross multiply
    207.36x = 310.74 × 109.92
  4. Step 4: Simplify right side
    207.36x = 34,157.29
  5. Step 5: Solve for x
    x = 34,157.29/207.36
  6. Step 6: Final answer
    x = 164.72

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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.