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Finding the Fourth Proportional to 360.06, 496.87 and 204.81

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Solution

The fourth proportional to 360.06, 496.87 and 204.81 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.06 : 496.87 = 204.81 : x
  2. Step 2: Convert to fraction form
    360.06/496.87 = 204.81/x
  3. Step 3: Cross multiply
    360.06x = 496.87 × 204.81
  4. Step 4: Simplify right side
    360.06x = 101,763.94
  5. Step 5: Solve for x
    x = 101,763.94/360.06
  6. Step 6: Final answer
    x = 282.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.