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Finding the Fourth Proportional to 360.74, 540.86 and 175.54

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Solution

The fourth proportional to 360.74, 540.86 and 175.54 is: 263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.74 : 540.86 = 175.54 : x
  2. Step 2: Convert to fraction form
    360.74/540.86 = 175.54/x
  3. Step 3: Cross multiply
    360.74x = 540.86 × 175.54
  4. Step 4: Simplify right side
    360.74x = 94,942.56
  5. Step 5: Solve for x
    x = 94,942.56/360.74
  6. Step 6: Final answer
    x = 263.19

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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.