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Finding the Fourth Proportional to 298.98, 448.62 and 161.88

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Solution

The fourth proportional to 298.98, 448.62 and 161.88 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 448.62 = 161.88 : x
  2. Step 2: Convert to fraction form
    298.98/448.62 = 161.88/x
  3. Step 3: Cross multiply
    298.98x = 448.62 × 161.88
  4. Step 4: Simplify right side
    298.98x = 72,622.61
  5. Step 5: Solve for x
    x = 72,622.61/298.98
  6. Step 6: Final answer
    x = 242.90

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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.