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Finding the Fourth Proportional to 328.50, 453.34 and 181.12

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Solution

The fourth proportional to 328.50, 453.34 and 181.12 is: 249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.50 : 453.34 = 181.12 : x
  2. Step 2: Convert to fraction form
    328.50/453.34 = 181.12/x
  3. Step 3: Cross multiply
    328.50x = 453.34 × 181.12
  4. Step 4: Simplify right side
    328.50x = 82,108.94
  5. Step 5: Solve for x
    x = 82,108.94/328.50
  6. Step 6: Final answer
    x = 249.95

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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.