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Finding the Fourth Proportional to 323.49, 484.29 and 186.12

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Solution

The fourth proportional to 323.49, 484.29 and 186.12 is: 278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.49 : 484.29 = 186.12 : x
  2. Step 2: Convert to fraction form
    323.49/484.29 = 186.12/x
  3. Step 3: Cross multiply
    323.49x = 484.29 × 186.12
  4. Step 4: Simplify right side
    323.49x = 90,136.05
  5. Step 5: Solve for x
    x = 90,136.05/323.49
  6. Step 6: Final answer
    x = 278.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.