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Finding the Fourth Proportional to 165.05, 247.37 and 134.67

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Solution

The fourth proportional to 165.05, 247.37 and 134.67 is: 201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.05 : 247.37 = 134.67 : x
  2. Step 2: Convert to fraction form
    165.05/247.37 = 134.67/x
  3. Step 3: Cross multiply
    165.05x = 247.37 × 134.67
  4. Step 4: Simplify right side
    165.05x = 33,312.64
  5. Step 5: Solve for x
    x = 33,312.64/165.05
  6. Step 6: Final answer
    x = 201.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.