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Finding the Fourth Proportional to 369.80, 554.68 and 126.33

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Solution

The fourth proportional to 369.80, 554.68 and 126.33 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 554.68 = 126.33 : x
  2. Step 2: Convert to fraction form
    369.80/554.68 = 126.33/x
  3. Step 3: Cross multiply
    369.80x = 554.68 × 126.33
  4. Step 4: Simplify right side
    369.80x = 70,069.95
  5. Step 5: Solve for x
    x = 70,069.95/369.80
  6. Step 6: Final answer
    x = 189.48

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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.