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Finding the Fourth Proportional to 201.76, 300.93 and 184.21

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Solution

The fourth proportional to 201.76, 300.93 and 184.21 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 300.93 = 184.21 : x
  2. Step 2: Convert to fraction form
    201.76/300.93 = 184.21/x
  3. Step 3: Cross multiply
    201.76x = 300.93 × 184.21
  4. Step 4: Simplify right side
    201.76x = 55,434.32
  5. Step 5: Solve for x
    x = 55,434.32/201.76
  6. Step 6: Final answer
    x = 274.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.