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Finding the Fourth Proportional to 165.22, 247.95 and 142.66

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Solution

The fourth proportional to 165.22, 247.95 and 142.66 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 247.95 = 142.66 : x
  2. Step 2: Convert to fraction form
    165.22/247.95 = 142.66/x
  3. Step 3: Cross multiply
    165.22x = 247.95 × 142.66
  4. Step 4: Simplify right side
    165.22x = 35,372.55
  5. Step 5: Solve for x
    x = 35,372.55/165.22
  6. Step 6: Final answer
    x = 214.09

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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.