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Finding the Fourth Proportional to 369.36, 553.44 and 186.48

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Solution

The fourth proportional to 369.36, 553.44 and 186.48 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.36 : 553.44 = 186.48 : x
  2. Step 2: Convert to fraction form
    369.36/553.44 = 186.48/x
  3. Step 3: Cross multiply
    369.36x = 553.44 × 186.48
  4. Step 4: Simplify right side
    369.36x = 103,205.49
  5. Step 5: Solve for x
    x = 103,205.49/369.36
  6. Step 6: Final answer
    x = 279.42

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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.