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Finding the Fourth Proportional to 156.03, 234.09 and 142.46

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Solution

The fourth proportional to 156.03, 234.09 and 142.46 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.03 : 234.09 = 142.46 : x
  2. Step 2: Convert to fraction form
    156.03/234.09 = 142.46/x
  3. Step 3: Cross multiply
    156.03x = 234.09 × 142.46
  4. Step 4: Simplify right side
    156.03x = 33,348.17
  5. Step 5: Solve for x
    x = 33,348.17/156.03
  6. Step 6: Final answer
    x = 213.73

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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.