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Finding the Fourth Proportional to 207.30, 310.36 and 115.66

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Solution

The fourth proportional to 207.30, 310.36 and 115.66 is: 173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 310.36 = 115.66 : x
  2. Step 2: Convert to fraction form
    207.30/310.36 = 115.66/x
  3. Step 3: Cross multiply
    207.30x = 310.36 × 115.66
  4. Step 4: Simplify right side
    207.30x = 35,896.24
  5. Step 5: Solve for x
    x = 35,896.24/207.30
  6. Step 6: Final answer
    x = 173.16

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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.