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Finding the Fourth Proportional to 356.73, 535.22 and 194.33

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Solution

The fourth proportional to 356.73, 535.22 and 194.33 is: 291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.73 : 535.22 = 194.33 : x
  2. Step 2: Convert to fraction form
    356.73/535.22 = 194.33/x
  3. Step 3: Cross multiply
    356.73x = 535.22 × 194.33
  4. Step 4: Simplify right side
    356.73x = 104,005.65
  5. Step 5: Solve for x
    x = 104,005.65/356.73
  6. Step 6: Final answer
    x = 291.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.