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Finding the Fourth Proportional to 360.41, 540.33 and 177.67

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Solution

The fourth proportional to 360.41, 540.33 and 177.67 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.41 : 540.33 = 177.67 : x
  2. Step 2: Convert to fraction form
    360.41/540.33 = 177.67/x
  3. Step 3: Cross multiply
    360.41x = 540.33 × 177.67
  4. Step 4: Simplify right side
    360.41x = 96,000.43
  5. Step 5: Solve for x
    x = 96,000.43/360.41
  6. Step 6: Final answer
    x = 266.36

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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.