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Finding the Fourth Proportional to 360.41, 540.36 and 177.69

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Solution

The fourth proportional to 360.41, 540.36 and 177.69 is: 266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.41 : 540.36 = 177.69 : x
  2. Step 2: Convert to fraction form
    360.41/540.36 = 177.69/x
  3. Step 3: Cross multiply
    360.41x = 540.36 × 177.69
  4. Step 4: Simplify right side
    360.41x = 96,016.57
  5. Step 5: Solve for x
    x = 96,016.57/360.41
  6. Step 6: Final answer
    x = 266.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.