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Finding the Fourth Proportional to 360.22, 540.47 and 177.43

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Solution

The fourth proportional to 360.22, 540.47 and 177.43 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.22 : 540.47 = 177.43 : x
  2. Step 2: Convert to fraction form
    360.22/540.47 = 177.43/x
  3. Step 3: Cross multiply
    360.22x = 540.47 × 177.43
  4. Step 4: Simplify right side
    360.22x = 95,894.70
  5. Step 5: Solve for x
    x = 95,894.70/360.22
  6. Step 6: Final answer
    x = 266.21

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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.