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Finding the Fourth Proportional to 207.79, 286.73 and 120.46

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Solution

The fourth proportional to 207.79, 286.73 and 120.46 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.79 : 286.73 = 120.46 : x
  2. Step 2: Convert to fraction form
    207.79/286.73 = 120.46/x
  3. Step 3: Cross multiply
    207.79x = 286.73 × 120.46
  4. Step 4: Simplify right side
    207.79x = 34,539.50
  5. Step 5: Solve for x
    x = 34,539.50/207.79
  6. Step 6: Final answer
    x = 166.22

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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.