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Finding the Fourth Proportional to 156.37, 234.83 and 143.71

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Solution

The fourth proportional to 156.37, 234.83 and 143.71 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.37 : 234.83 = 143.71 : x
  2. Step 2: Convert to fraction form
    156.37/234.83 = 143.71/x
  3. Step 3: Cross multiply
    156.37x = 234.83 × 143.71
  4. Step 4: Simplify right side
    156.37x = 33,747.42
  5. Step 5: Solve for x
    x = 33,747.42/156.37
  6. Step 6: Final answer
    x = 215.82

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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.