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Finding the Fourth Proportional to 305.44, 458.22 and 161.32

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Solution

The fourth proportional to 305.44, 458.22 and 161.32 is: 242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 458.22 = 161.32 : x
  2. Step 2: Convert to fraction form
    305.44/458.22 = 161.32/x
  3. Step 3: Cross multiply
    305.44x = 458.22 × 161.32
  4. Step 4: Simplify right side
    305.44x = 73,920.05
  5. Step 5: Solve for x
    x = 73,920.05/305.44
  6. Step 6: Final answer
    x = 242.01

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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.