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Finding the Fourth Proportional to 281.77, 423.61 and 221.62

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Solution

The fourth proportional to 281.77, 423.61 and 221.62 is: 333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.77 : 423.61 = 221.62 : x
  2. Step 2: Convert to fraction form
    281.77/423.61 = 221.62/x
  3. Step 3: Cross multiply
    281.77x = 423.61 × 221.62
  4. Step 4: Simplify right side
    281.77x = 93,880.45
  5. Step 5: Solve for x
    x = 93,880.45/281.77
  6. Step 6: Final answer
    x = 333.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.