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Finding the Fourth Proportional to 201.06, 299.64 and 188.34

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Solution

The fourth proportional to 201.06, 299.64 and 188.34 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 299.64 = 188.34 : x
  2. Step 2: Convert to fraction form
    201.06/299.64 = 188.34/x
  3. Step 3: Cross multiply
    201.06x = 299.64 × 188.34
  4. Step 4: Simplify right side
    201.06x = 56,434.20
  5. Step 5: Solve for x
    x = 56,434.20/201.06
  6. Step 6: Final answer
    x = 280.68

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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.