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Finding the Fourth Proportional to 156.41, 234.09 and 150.94

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Solution

The fourth proportional to 156.41, 234.09 and 150.94 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.41 : 234.09 = 150.94 : x
  2. Step 2: Convert to fraction form
    156.41/234.09 = 150.94/x
  3. Step 3: Cross multiply
    156.41x = 234.09 × 150.94
  4. Step 4: Simplify right side
    156.41x = 35,333.18
  5. Step 5: Solve for x
    x = 35,333.18/156.41
  6. Step 6: Final answer
    x = 225.91

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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.