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Finding the Fourth Proportional to 301.92, 452.63 and 165.12

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Solution

The fourth proportional to 301.92, 452.63 and 165.12 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 452.63 = 165.12 : x
  2. Step 2: Convert to fraction form
    301.92/452.63 = 165.12/x
  3. Step 3: Cross multiply
    301.92x = 452.63 × 165.12
  4. Step 4: Simplify right side
    301.92x = 74,737.44
  5. Step 5: Solve for x
    x = 74,737.44/301.92
  6. Step 6: Final answer
    x = 247.54

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Why These Related Problems?

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