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Finding the Fourth Proportional to 164.25, 246.34 and 48.67

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Solution

The fourth proportional to 164.25, 246.34 and 48.67 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.25 : 246.34 = 48.67 : x
  2. Step 2: Convert to fraction form
    164.25/246.34 = 48.67/x
  3. Step 3: Cross multiply
    164.25x = 246.34 × 48.67
  4. Step 4: Simplify right side
    164.25x = 11,988.32
  5. Step 5: Solve for x
    x = 11,988.32/164.25
  6. Step 6: Final answer
    x = 72.99

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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.