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Finding the Fourth Proportional to 360.50, 540.41 and 177.71

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Solution

The fourth proportional to 360.50, 540.41 and 177.71 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 540.41 = 177.71 : x
  2. Step 2: Convert to fraction form
    360.50/540.41 = 177.71/x
  3. Step 3: Cross multiply
    360.50x = 540.41 × 177.71
  4. Step 4: Simplify right side
    360.50x = 96,032.67
  5. Step 5: Solve for x
    x = 96,032.67/360.50
  6. Step 6: Final answer
    x = 266.39

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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.