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Finding the Fourth Proportional to 207.11, 309.97 and 172.93

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Solution

The fourth proportional to 207.11, 309.97 and 172.93 is: 258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.11 : 309.97 = 172.93 : x
  2. Step 2: Convert to fraction form
    207.11/309.97 = 172.93/x
  3. Step 3: Cross multiply
    207.11x = 309.97 × 172.93
  4. Step 4: Simplify right side
    207.11x = 53,603.11
  5. Step 5: Solve for x
    x = 53,603.11/207.11
  6. Step 6: Final answer
    x = 258.81

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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.