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Finding the Fourth Proportional to 373.69, 559.82 and 181.45

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Solution

The fourth proportional to 373.69, 559.82 and 181.45 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.69 : 559.82 = 181.45 : x
  2. Step 2: Convert to fraction form
    373.69/559.82 = 181.45/x
  3. Step 3: Cross multiply
    373.69x = 559.82 × 181.45
  4. Step 4: Simplify right side
    373.69x = 101,578.43
  5. Step 5: Solve for x
    x = 101,578.43/373.69
  6. Step 6: Final answer
    x = 271.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.