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Finding the Fourth Proportional to 355.66, 490.93 and 221.17

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Solution

The fourth proportional to 355.66, 490.93 and 221.17 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.66 : 490.93 = 221.17 : x
  2. Step 2: Convert to fraction form
    355.66/490.93 = 221.17/x
  3. Step 3: Cross multiply
    355.66x = 490.93 × 221.17
  4. Step 4: Simplify right side
    355.66x = 108,578.99
  5. Step 5: Solve for x
    x = 108,578.99/355.66
  6. Step 6: Final answer
    x = 305.29

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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.