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Finding the Fourth Proportional to 223.15, 307.64 and 181.64

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Solution

The fourth proportional to 223.15, 307.64 and 181.64 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.15 : 307.64 = 181.64 : x
  2. Step 2: Convert to fraction form
    223.15/307.64 = 181.64/x
  3. Step 3: Cross multiply
    223.15x = 307.64 × 181.64
  4. Step 4: Simplify right side
    223.15x = 55,879.73
  5. Step 5: Solve for x
    x = 55,879.73/223.15
  6. Step 6: Final answer
    x = 250.41

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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.