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Finding the Fourth Proportional to 161.31, 239.91 and 156.45

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Solution

The fourth proportional to 161.31, 239.91 and 156.45 is: 232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 239.91 = 156.45 : x
  2. Step 2: Convert to fraction form
    161.31/239.91 = 156.45/x
  3. Step 3: Cross multiply
    161.31x = 239.91 × 156.45
  4. Step 4: Simplify right side
    161.31x = 37,533.92
  5. Step 5: Solve for x
    x = 37,533.92/161.31
  6. Step 6: Final answer
    x = 232.68

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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.