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Finding the Fourth Proportional to 352.33, 486.17 and 194.95

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Solution

The fourth proportional to 352.33, 486.17 and 194.95 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.33 : 486.17 = 194.95 : x
  2. Step 2: Convert to fraction form
    352.33/486.17 = 194.95/x
  3. Step 3: Cross multiply
    352.33x = 486.17 × 194.95
  4. Step 4: Simplify right side
    352.33x = 94,779.21
  5. Step 5: Solve for x
    x = 94,779.21/352.33
  6. Step 6: Final answer
    x = 269.01

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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.