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Finding the Fourth Proportional to 369.97, 554.38 and 186.98

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Solution

The fourth proportional to 369.97, 554.38 and 186.98 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.97 : 554.38 = 186.98 : x
  2. Step 2: Convert to fraction form
    369.97/554.38 = 186.98/x
  3. Step 3: Cross multiply
    369.97x = 554.38 × 186.98
  4. Step 4: Simplify right side
    369.97x = 103,654.73
  5. Step 5: Solve for x
    x = 103,654.73/369.97
  6. Step 6: Final answer
    x = 280.17

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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.