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Finding the Fourth Proportional to 328.20, 452.91 and 180.83

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Solution

The fourth proportional to 328.20, 452.91 and 180.83 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.20 : 452.91 = 180.83 : x
  2. Step 2: Convert to fraction form
    328.20/452.91 = 180.83/x
  3. Step 3: Cross multiply
    328.20x = 452.91 × 180.83
  4. Step 4: Simplify right side
    328.20x = 81,899.72
  5. Step 5: Solve for x
    x = 81,899.72/328.20
  6. Step 6: Final answer
    x = 249.54

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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.