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Finding the Fourth Proportional to 201.30, 277.86 and 183.68

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Solution

The fourth proportional to 201.30, 277.86 and 183.68 is: 253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 277.86 = 183.68 : x
  2. Step 2: Convert to fraction form
    201.30/277.86 = 183.68/x
  3. Step 3: Cross multiply
    201.30x = 277.86 × 183.68
  4. Step 4: Simplify right side
    201.30x = 51,037.32
  5. Step 5: Solve for x
    x = 51,037.32/201.30
  6. Step 6: Final answer
    x = 253.54

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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.