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Finding the Fourth Proportional to 181.37, 249.89 and 153.90

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Solution

The fourth proportional to 181.37, 249.89 and 153.90 is: 212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.37 : 249.89 = 153.90 : x
  2. Step 2: Convert to fraction form
    181.37/249.89 = 153.90/x
  3. Step 3: Cross multiply
    181.37x = 249.89 × 153.90
  4. Step 4: Simplify right side
    181.37x = 38,457.30
  5. Step 5: Solve for x
    x = 38,457.30/181.37
  6. Step 6: Final answer
    x = 212.03

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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.