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Finding the Fourth Proportional to 219.46, 328.74 and 164.76

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Solution

The fourth proportional to 219.46, 328.74 and 164.76 is: 246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.46 : 328.74 = 164.76 : x
  2. Step 2: Convert to fraction form
    219.46/328.74 = 164.76/x
  3. Step 3: Cross multiply
    219.46x = 328.74 × 164.76
  4. Step 4: Simplify right side
    219.46x = 54,163.20
  5. Step 5: Solve for x
    x = 54,163.20/219.46
  6. Step 6: Final answer
    x = 246.80

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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.