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Finding the Fourth Proportional to 298.47, 412.07 and 193.59

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Solution

The fourth proportional to 298.47, 412.07 and 193.59 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.47 : 412.07 = 193.59 : x
  2. Step 2: Convert to fraction form
    298.47/412.07 = 193.59/x
  3. Step 3: Cross multiply
    298.47x = 412.07 × 193.59
  4. Step 4: Simplify right side
    298.47x = 79,771.66
  5. Step 5: Solve for x
    x = 79,771.66/298.47
  6. Step 6: Final answer
    x = 267.27

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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.