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Finding the Fourth Proportional to 298.90, 412.44 and 194.08

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Solution

The fourth proportional to 298.90, 412.44 and 194.08 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.90 : 412.44 = 194.08 : x
  2. Step 2: Convert to fraction form
    298.90/412.44 = 194.08/x
  3. Step 3: Cross multiply
    298.90x = 412.44 × 194.08
  4. Step 4: Simplify right side
    298.90x = 80,046.36
  5. Step 5: Solve for x
    x = 80,046.36/298.90
  6. Step 6: Final answer
    x = 267.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.