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Finding the Fourth Proportional to 156.27, 215.83 and 119.34

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Solution

The fourth proportional to 156.27, 215.83 and 119.34 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.27 : 215.83 = 119.34 : x
  2. Step 2: Convert to fraction form
    156.27/215.83 = 119.34/x
  3. Step 3: Cross multiply
    156.27x = 215.83 × 119.34
  4. Step 4: Simplify right side
    156.27x = 25,757.39
  5. Step 5: Solve for x
    x = 25,757.39/156.27
  6. Step 6: Final answer
    x = 164.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.