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Finding the Fourth Proportional to 351.41, 484.94 and 194.02

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Solution

The fourth proportional to 351.41, 484.94 and 194.02 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.41 : 484.94 = 194.02 : x
  2. Step 2: Convert to fraction form
    351.41/484.94 = 194.02/x
  3. Step 3: Cross multiply
    351.41x = 484.94 × 194.02
  4. Step 4: Simplify right side
    351.41x = 94,085.88
  5. Step 5: Solve for x
    x = 94,085.88/351.41
  6. Step 6: Final answer
    x = 267.74

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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.