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Finding the Fourth Proportional to 223.79, 308.96 and 146.30

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Solution

The fourth proportional to 223.79, 308.96 and 146.30 is: 201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.79 : 308.96 = 146.30 : x
  2. Step 2: Convert to fraction form
    223.79/308.96 = 146.30/x
  3. Step 3: Cross multiply
    223.79x = 308.96 × 146.30
  4. Step 4: Simplify right side
    223.79x = 45,198.57
  5. Step 5: Solve for x
    x = 45,198.57/223.79
  6. Step 6: Final answer
    x = 201.97

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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.