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Finding the Fourth Proportional to 353.64, 487.96 and 222.69

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Solution

The fourth proportional to 353.64, 487.96 and 222.69 is: 307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.64 : 487.96 = 222.69 : x
  2. Step 2: Convert to fraction form
    353.64/487.96 = 222.69/x
  3. Step 3: Cross multiply
    353.64x = 487.96 × 222.69
  4. Step 4: Simplify right side
    353.64x = 108,663.81
  5. Step 5: Solve for x
    x = 108,663.81/353.64
  6. Step 6: Final answer
    x = 307.27

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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.