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Finding the Fourth Proportional to 298.69, 448.04 and 190.23

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Solution

The fourth proportional to 298.69, 448.04 and 190.23 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 448.04 = 190.23 : x
  2. Step 2: Convert to fraction form
    298.69/448.04 = 190.23/x
  3. Step 3: Cross multiply
    298.69x = 448.04 × 190.23
  4. Step 4: Simplify right side
    298.69x = 85,230.65
  5. Step 5: Solve for x
    x = 85,230.65/298.69
  6. Step 6: Final answer
    x = 285.35

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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.