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Finding the Fourth Proportional to 328.12, 452.78 and 180.75

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Solution

The fourth proportional to 328.12, 452.78 and 180.75 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.12 : 452.78 = 180.75 : x
  2. Step 2: Convert to fraction form
    328.12/452.78 = 180.75/x
  3. Step 3: Cross multiply
    328.12x = 452.78 × 180.75
  4. Step 4: Simplify right side
    328.12x = 81,839.08
  5. Step 5: Solve for x
    x = 81,839.08/328.12
  6. Step 6: Final answer
    x = 249.42

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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.