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Finding the Fourth Proportional to 328.25, 452.95 and 180.88

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Solution

The fourth proportional to 328.25, 452.95 and 180.88 is: 249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.25 : 452.95 = 180.88 : x
  2. Step 2: Convert to fraction form
    328.25/452.95 = 180.88/x
  3. Step 3: Cross multiply
    328.25x = 452.95 × 180.88
  4. Step 4: Simplify right side
    328.25x = 81,928.01
  5. Step 5: Solve for x
    x = 81,928.01/328.25
  6. Step 6: Final answer
    x = 249.59

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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.