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Finding the Fourth Proportional to 295.96, 443.88 and 90.54

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Solution

The fourth proportional to 295.96, 443.88 and 90.54 is: 135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 443.88 = 90.54 : x
  2. Step 2: Convert to fraction form
    295.96/443.88 = 90.54/x
  3. Step 3: Cross multiply
    295.96x = 443.88 × 90.54
  4. Step 4: Simplify right side
    295.96x = 40,188.90
  5. Step 5: Solve for x
    x = 40,188.90/295.96
  6. Step 6: Final answer
    x = 135.79

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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.