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Finding the Fourth Proportional to 360.96, 540.80 and 177.92

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Solution

The fourth proportional to 360.96, 540.80 and 177.92 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 540.80 = 177.92 : x
  2. Step 2: Convert to fraction form
    360.96/540.80 = 177.92/x
  3. Step 3: Cross multiply
    360.96x = 540.80 × 177.92
  4. Step 4: Simplify right side
    360.96x = 96,219.14
  5. Step 5: Solve for x
    x = 96,219.14/360.96
  6. Step 6: Final answer
    x = 266.56

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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.