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Finding the Fourth Proportional to 360.63, 540.41 and 177.80

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Solution

The fourth proportional to 360.63, 540.41 and 177.80 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.63 : 540.41 = 177.80 : x
  2. Step 2: Convert to fraction form
    360.63/540.41 = 177.80/x
  3. Step 3: Cross multiply
    360.63x = 540.41 × 177.80
  4. Step 4: Simplify right side
    360.63x = 96,081.31
  5. Step 5: Solve for x
    x = 96,081.31/360.63
  6. Step 6: Final answer
    x = 266.43

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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.