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Finding the Fourth Proportional to 220.99, 303.71 and 181.58

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Solution

The fourth proportional to 220.99, 303.71 and 181.58 is: 249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.99 : 303.71 = 181.58 : x
  2. Step 2: Convert to fraction form
    220.99/303.71 = 181.58/x
  3. Step 3: Cross multiply
    220.99x = 303.71 × 181.58
  4. Step 4: Simplify right side
    220.99x = 55,148.42
  5. Step 5: Solve for x
    x = 55,148.42/220.99
  6. Step 6: Final answer
    x = 249.55

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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.