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Finding the Fourth Proportional to 281.77, 421.09 and 208.80

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Solution

The fourth proportional to 281.77, 421.09 and 208.80 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.77 : 421.09 = 208.80 : x
  2. Step 2: Convert to fraction form
    281.77/421.09 = 208.80/x
  3. Step 3: Cross multiply
    281.77x = 421.09 × 208.80
  4. Step 4: Simplify right side
    281.77x = 87,923.59
  5. Step 5: Solve for x
    x = 87,923.59/281.77
  6. Step 6: Final answer
    x = 312.04

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Why These Related Problems?

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