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Finding the Fourth Proportional to 328.37, 453.14 and 181.01

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Solution

The fourth proportional to 328.37, 453.14 and 181.01 is: 249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.37 : 453.14 = 181.01 : x
  2. Step 2: Convert to fraction form
    328.37/453.14 = 181.01/x
  3. Step 3: Cross multiply
    328.37x = 453.14 × 181.01
  4. Step 4: Simplify right side
    328.37x = 82,022.87
  5. Step 5: Solve for x
    x = 82,022.87/328.37
  6. Step 6: Final answer
    x = 249.79

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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.