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Finding the Fourth Proportional to 281.52, 421.82 and 127.22

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Solution

The fourth proportional to 281.52, 421.82 and 127.22 is: 190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.52 : 421.82 = 127.22 : x
  2. Step 2: Convert to fraction form
    281.52/421.82 = 127.22/x
  3. Step 3: Cross multiply
    281.52x = 421.82 × 127.22
  4. Step 4: Simplify right side
    281.52x = 53,663.94
  5. Step 5: Solve for x
    x = 53,663.94/281.52
  6. Step 6: Final answer
    x = 190.62

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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.