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Finding the Fourth Proportional to 156.09, 234.14 and 142.73

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Solution

The fourth proportional to 156.09, 234.14 and 142.73 is: 214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 234.14 = 142.73 : x
  2. Step 2: Convert to fraction form
    156.09/234.14 = 142.73/x
  3. Step 3: Cross multiply
    156.09x = 234.14 × 142.73
  4. Step 4: Simplify right side
    156.09x = 33,418.80
  5. Step 5: Solve for x
    x = 33,418.80/156.09
  6. Step 6: Final answer
    x = 214.10

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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.