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Finding the Fourth Proportional to 360.81, 540.97 and 155.31

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Solution

The fourth proportional to 360.81, 540.97 and 155.31 is: 232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.81 : 540.97 = 155.31 : x
  2. Step 2: Convert to fraction form
    360.81/540.97 = 155.31/x
  3. Step 3: Cross multiply
    360.81x = 540.97 × 155.31
  4. Step 4: Simplify right side
    360.81x = 84,018.05
  5. Step 5: Solve for x
    x = 84,018.05/360.81
  6. Step 6: Final answer
    x = 232.86

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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.