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Finding the Fourth Proportional to 352.93, 487.10 and 221.84

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Solution

The fourth proportional to 352.93, 487.10 and 221.84 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.93 : 487.10 = 221.84 : x
  2. Step 2: Convert to fraction form
    352.93/487.10 = 221.84/x
  3. Step 3: Cross multiply
    352.93x = 487.10 × 221.84
  4. Step 4: Simplify right side
    352.93x = 108,057.15
  5. Step 5: Solve for x
    x = 108,057.15/352.93
  6. Step 6: Final answer
    x = 306.18

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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.