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Finding the Fourth Proportional to 369.91, 554.36 and 186.85

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Solution

The fourth proportional to 369.91, 554.36 and 186.85 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.91 : 554.36 = 186.85 : x
  2. Step 2: Convert to fraction form
    369.91/554.36 = 186.85/x
  3. Step 3: Cross multiply
    369.91x = 554.36 × 186.85
  4. Step 4: Simplify right side
    369.91x = 103,584.02
  5. Step 5: Solve for x
    x = 103,584.02/369.91
  6. Step 6: Final answer
    x = 280.02

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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.