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Finding the Fourth Proportional to 207.42, 286.19 and 144.44

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Solution

The fourth proportional to 207.42, 286.19 and 144.44 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 286.19 = 144.44 : x
  2. Step 2: Convert to fraction form
    207.42/286.19 = 144.44/x
  3. Step 3: Cross multiply
    207.42x = 286.19 × 144.44
  4. Step 4: Simplify right side
    207.42x = 41,335.13
  5. Step 5: Solve for x
    x = 41,335.13/207.42
  6. Step 6: Final answer
    x = 199.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.