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Finding the Fourth Proportional to 283, 422.61 and 221.44

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Solution

The fourth proportional to 283, 422.61 and 221.44 is: 330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283 : 422.61 = 221.44 : x
  2. Step 2: Convert to fraction form
    283/422.61 = 221.44/x
  3. Step 3: Cross multiply
    283x = 422.61 × 221.44
  4. Step 4: Simplify right side
    283x = 93,582.76
  5. Step 5: Solve for x
    x = 93,582.76/283
  6. Step 6: Final answer
    x = 330.68

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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.