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Finding the Fourth Proportional to 235.16, 353.08 and 194.84

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Solution

The fourth proportional to 235.16, 353.08 and 194.84 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.16 : 353.08 = 194.84 : x
  2. Step 2: Convert to fraction form
    235.16/353.08 = 194.84/x
  3. Step 3: Cross multiply
    235.16x = 353.08 × 194.84
  4. Step 4: Simplify right side
    235.16x = 68,794.11
  5. Step 5: Solve for x
    x = 68,794.11/235.16
  6. Step 6: Final answer
    x = 292.54

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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.