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Finding the Fourth Proportional to 165.46, 247.12 and 150.34

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Solution

The fourth proportional to 165.46, 247.12 and 150.34 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 247.12 = 150.34 : x
  2. Step 2: Convert to fraction form
    165.46/247.12 = 150.34/x
  3. Step 3: Cross multiply
    165.46x = 247.12 × 150.34
  4. Step 4: Simplify right side
    165.46x = 37,152.02
  5. Step 5: Solve for x
    x = 37,152.02/165.46
  6. Step 6: Final answer
    x = 224.54

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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.