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Finding the Fourth Proportional to 328.15, 452.85 and 180.80

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Solution

The fourth proportional to 328.15, 452.85 and 180.80 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.15 : 452.85 = 180.80 : x
  2. Step 2: Convert to fraction form
    328.15/452.85 = 180.80/x
  3. Step 3: Cross multiply
    328.15x = 452.85 × 180.80
  4. Step 4: Simplify right side
    328.15x = 81,872.11
  5. Step 5: Solve for x
    x = 81,872.11/328.15
  6. Step 6: Final answer
    x = 249.50

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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.