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Finding the Fourth Proportional to 156.14, 232.37 and 150.38

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Solution

The fourth proportional to 156.14, 232.37 and 150.38 is: 223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.14 : 232.37 = 150.38 : x
  2. Step 2: Convert to fraction form
    156.14/232.37 = 150.38/x
  3. Step 3: Cross multiply
    156.14x = 232.37 × 150.38
  4. Step 4: Simplify right side
    156.14x = 34,943.80
  5. Step 5: Solve for x
    x = 34,943.80/156.14
  6. Step 6: Final answer
    x = 223.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.