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Finding the Fourth Proportional to 298.60, 447.72 and 161.80

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Solution

The fourth proportional to 298.60, 447.72 and 161.80 is: 242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 447.72 = 161.80 : x
  2. Step 2: Convert to fraction form
    298.60/447.72 = 161.80/x
  3. Step 3: Cross multiply
    298.60x = 447.72 × 161.80
  4. Step 4: Simplify right side
    298.60x = 72,441.10
  5. Step 5: Solve for x
    x = 72,441.10/298.60
  6. Step 6: Final answer
    x = 242.60

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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.