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Finding the Fourth Proportional to 299.22, 412.53 and 194.13

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Solution

The fourth proportional to 299.22, 412.53 and 194.13 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 412.53 = 194.13 : x
  2. Step 2: Convert to fraction form
    299.22/412.53 = 194.13/x
  3. Step 3: Cross multiply
    299.22x = 412.53 × 194.13
  4. Step 4: Simplify right side
    299.22x = 80,084.45
  5. Step 5: Solve for x
    x = 80,084.45/299.22
  6. Step 6: Final answer
    x = 267.64

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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.