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Finding the Fourth Proportional to 207.14, 309.92 and 140.99

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Solution

The fourth proportional to 207.14, 309.92 and 140.99 is: 210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 309.92 = 140.99 : x
  2. Step 2: Convert to fraction form
    207.14/309.92 = 140.99/x
  3. Step 3: Cross multiply
    207.14x = 309.92 × 140.99
  4. Step 4: Simplify right side
    207.14x = 43,693.37
  5. Step 5: Solve for x
    x = 43,693.37/207.14
  6. Step 6: Final answer
    x = 210.94

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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.