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Finding the Fourth Proportional to 223.82, 309.00 and 146.33

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Solution

The fourth proportional to 223.82, 309.00 and 146.33 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.82 : 309.00 = 146.33 : x
  2. Step 2: Convert to fraction form
    223.82/309.00 = 146.33/x
  3. Step 3: Cross multiply
    223.82x = 309.00 × 146.33
  4. Step 4: Simplify right side
    223.82x = 45,213.69
  5. Step 5: Solve for x
    x = 45,213.69/223.82
  6. Step 6: Final answer
    x = 202.01

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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.