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Finding the Fourth Proportional to 223.87, 309.07 and 146.38

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Solution

The fourth proportional to 223.87, 309.07 and 146.38 is: 202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.87 : 309.07 = 146.38 : x
  2. Step 2: Convert to fraction form
    223.87/309.07 = 146.38/x
  3. Step 3: Cross multiply
    223.87x = 309.07 × 146.38
  4. Step 4: Simplify right side
    223.87x = 45,241.26
  5. Step 5: Solve for x
    x = 45,241.26/223.87
  6. Step 6: Final answer
    x = 202.09

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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.