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Finding the Fourth Proportional to 281.48, 422.00 and 189.02

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Solution

The fourth proportional to 281.48, 422.00 and 189.02 is: 283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 422.00 = 189.02 : x
  2. Step 2: Convert to fraction form
    281.48/422.00 = 189.02/x
  3. Step 3: Cross multiply
    281.48x = 422.00 × 189.02
  4. Step 4: Simplify right side
    281.48x = 79,766.55
  5. Step 5: Solve for x
    x = 79,766.55/281.48
  6. Step 6: Final answer
    x = 283.39

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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.