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Finding the Fourth Proportional to 223.73, 307.43 and 182.19

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Solution

The fourth proportional to 223.73, 307.43 and 182.19 is: 250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.73 : 307.43 = 182.19 : x
  2. Step 2: Convert to fraction form
    223.73/307.43 = 182.19/x
  3. Step 3: Cross multiply
    223.73x = 307.43 × 182.19
  4. Step 4: Simplify right side
    223.73x = 56,011.13
  5. Step 5: Solve for x
    x = 56,011.13/223.73
  6. Step 6: Final answer
    x = 250.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.