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Finding the Fourth Proportional to 165.30, 247.29 and 142.72

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Solution

The fourth proportional to 165.30, 247.29 and 142.72 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.30 : 247.29 = 142.72 : x
  2. Step 2: Convert to fraction form
    165.30/247.29 = 142.72/x
  3. Step 3: Cross multiply
    165.30x = 247.29 × 142.72
  4. Step 4: Simplify right side
    165.30x = 35,292.08
  5. Step 5: Solve for x
    x = 35,292.08/165.30
  6. Step 6: Final answer
    x = 213.51

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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.