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Finding the Fourth Proportional to 219.66, 328.80 and 161.95

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Solution

The fourth proportional to 219.66, 328.80 and 161.95 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.66 : 328.80 = 161.95 : x
  2. Step 2: Convert to fraction form
    219.66/328.80 = 161.95/x
  3. Step 3: Cross multiply
    219.66x = 328.80 × 161.95
  4. Step 4: Simplify right side
    219.66x = 53,247.52
  5. Step 5: Solve for x
    x = 53,247.52/219.66
  6. Step 6: Final answer
    x = 242.41

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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.