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Finding the Fourth Proportional to 352.20, 486.03 and 200.77

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Solution

The fourth proportional to 352.20, 486.03 and 200.77 is: 277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.20 : 486.03 = 200.77 : x
  2. Step 2: Convert to fraction form
    352.20/486.03 = 200.77/x
  3. Step 3: Cross multiply
    352.20x = 486.03 × 200.77
  4. Step 4: Simplify right side
    352.20x = 97,580.24
  5. Step 5: Solve for x
    x = 97,580.24/352.20
  6. Step 6: Final answer
    x = 277.06

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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.