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Finding the Fourth Proportional to 200.56, 300.63 and 182.74

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Solution

The fourth proportional to 200.56, 300.63 and 182.74 is: 273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 300.63 = 182.74 : x
  2. Step 2: Convert to fraction form
    200.56/300.63 = 182.74/x
  3. Step 3: Cross multiply
    200.56x = 300.63 × 182.74
  4. Step 4: Simplify right side
    200.56x = 54,937.13
  5. Step 5: Solve for x
    x = 54,937.13/200.56
  6. Step 6: Final answer
    x = 273.92

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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.