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Finding the Fourth Proportional to 295.72, 443.42 and 193

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Solution

The fourth proportional to 295.72, 443.42 and 193 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.72 : 443.42 = 193 : x
  2. Step 2: Convert to fraction form
    295.72/443.42 = 193/x
  3. Step 3: Cross multiply
    295.72x = 443.42 × 193
  4. Step 4: Simplify right side
    295.72x = 85,580.06
  5. Step 5: Solve for x
    x = 85,580.06/295.72
  6. Step 6: Final answer
    x = 289.40

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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.