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Finding the Fourth Proportional to 207.05, 309.94 and 115.52

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Solution

The fourth proportional to 207.05, 309.94 and 115.52 is: 172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.05 : 309.94 = 115.52 : x
  2. Step 2: Convert to fraction form
    207.05/309.94 = 115.52/x
  3. Step 3: Cross multiply
    207.05x = 309.94 × 115.52
  4. Step 4: Simplify right side
    207.05x = 35,804.27
  5. Step 5: Solve for x
    x = 35,804.27/207.05
  6. Step 6: Final answer
    x = 172.93

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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.