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Finding the Fourth Proportional to 352.26, 486.16 and 194.93

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Solution

The fourth proportional to 352.26, 486.16 and 194.93 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 486.16 = 194.93 : x
  2. Step 2: Convert to fraction form
    352.26/486.16 = 194.93/x
  3. Step 3: Cross multiply
    352.26x = 486.16 × 194.93
  4. Step 4: Simplify right side
    352.26x = 94,767.41
  5. Step 5: Solve for x
    x = 94,767.41/352.26
  6. Step 6: Final answer
    x = 269.02

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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.