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Finding the Fourth Proportional to 240.16, 331.53 and 181.05

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Solution

The fourth proportional to 240.16, 331.53 and 181.05 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.16 : 331.53 = 181.05 : x
  2. Step 2: Convert to fraction form
    240.16/331.53 = 181.05/x
  3. Step 3: Cross multiply
    240.16x = 331.53 × 181.05
  4. Step 4: Simplify right side
    240.16x = 60,024.98
  5. Step 5: Solve for x
    x = 60,024.98/240.16
  6. Step 6: Final answer
    x = 249.94

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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.