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Finding the Fourth Proportional to 207.68, 286.26 and 155.84

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Solution

The fourth proportional to 207.68, 286.26 and 155.84 is: 214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.68 : 286.26 = 155.84 : x
  2. Step 2: Convert to fraction form
    207.68/286.26 = 155.84/x
  3. Step 3: Cross multiply
    207.68x = 286.26 × 155.84
  4. Step 4: Simplify right side
    207.68x = 44,610.76
  5. Step 5: Solve for x
    x = 44,610.76/207.68
  6. Step 6: Final answer
    x = 214.81

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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.