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Finding the Fourth Proportional to 299.07, 412.77 and 194.28

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Solution

The fourth proportional to 299.07, 412.77 and 194.28 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 412.77 = 194.28 : x
  2. Step 2: Convert to fraction form
    299.07/412.77 = 194.28/x
  3. Step 3: Cross multiply
    299.07x = 412.77 × 194.28
  4. Step 4: Simplify right side
    299.07x = 80,192.96
  5. Step 5: Solve for x
    x = 80,192.96/299.07
  6. Step 6: Final answer
    x = 268.14

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