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Finding the Fourth Proportional to 164.25, 244.92 and 154.67

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Solution

The fourth proportional to 164.25, 244.92 and 154.67 is: 230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.25 : 244.92 = 154.67 : x
  2. Step 2: Convert to fraction form
    164.25/244.92 = 154.67/x
  3. Step 3: Cross multiply
    164.25x = 244.92 × 154.67
  4. Step 4: Simplify right side
    164.25x = 37,880.55
  5. Step 5: Solve for x
    x = 37,880.55/164.25
  6. Step 6: Final answer
    x = 230.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.