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Finding the Fourth Proportional to 295.79, 443.38 and 165.85

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Solution

The fourth proportional to 295.79, 443.38 and 165.85 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.79 : 443.38 = 165.85 : x
  2. Step 2: Convert to fraction form
    295.79/443.38 = 165.85/x
  3. Step 3: Cross multiply
    295.79x = 443.38 × 165.85
  4. Step 4: Simplify right side
    295.79x = 73,534.57
  5. Step 5: Solve for x
    x = 73,534.57/295.79
  6. Step 6: Final answer
    x = 248.60

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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.