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Finding the Fourth Proportional to 207.46, 286.25 and 133.80

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Solution

The fourth proportional to 207.46, 286.25 and 133.80 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.46 : 286.25 = 133.80 : x
  2. Step 2: Convert to fraction form
    207.46/286.25 = 133.80/x
  3. Step 3: Cross multiply
    207.46x = 286.25 × 133.80
  4. Step 4: Simplify right side
    207.46x = 38,300.25
  5. Step 5: Solve for x
    x = 38,300.25/207.46
  6. Step 6: Final answer
    x = 184.62

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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.