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Finding the Fourth Proportional to 201.24, 277.80 and 166.68

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Solution

The fourth proportional to 201.24, 277.80 and 166.68 is: 230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 277.80 = 166.68 : x
  2. Step 2: Convert to fraction form
    201.24/277.80 = 166.68/x
  3. Step 3: Cross multiply
    201.24x = 277.80 × 166.68
  4. Step 4: Simplify right side
    201.24x = 46,303.70
  5. Step 5: Solve for x
    x = 46,303.70/201.24
  6. Step 6: Final answer
    x = 230.09

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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.