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Finding the Fourth Proportional to 351.38, 484.94 and 194.03

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Solution

The fourth proportional to 351.38, 484.94 and 194.03 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.38 : 484.94 = 194.03 : x
  2. Step 2: Convert to fraction form
    351.38/484.94 = 194.03/x
  3. Step 3: Cross multiply
    351.38x = 484.94 × 194.03
  4. Step 4: Simplify right side
    351.38x = 94,089.51
  5. Step 5: Solve for x
    x = 94,089.51/351.38
  6. Step 6: Final answer
    x = 267.77

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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.