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Finding the Fourth Proportional to 201.64, 277.95 and 184.90

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Solution

The fourth proportional to 201.64, 277.95 and 184.90 is: 254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.64 : 277.95 = 184.90 : x
  2. Step 2: Convert to fraction form
    201.64/277.95 = 184.90/x
  3. Step 3: Cross multiply
    201.64x = 277.95 × 184.90
  4. Step 4: Simplify right side
    201.64x = 51,392.96
  5. Step 5: Solve for x
    x = 51,392.96/201.64
  6. Step 6: Final answer
    x = 254.87

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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.