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Finding the Fourth Proportional to 281.93, 422.77 and 127.83

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Solution

The fourth proportional to 281.93, 422.77 and 127.83 is: 191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.93 : 422.77 = 127.83 : x
  2. Step 2: Convert to fraction form
    281.93/422.77 = 127.83/x
  3. Step 3: Cross multiply
    281.93x = 422.77 × 127.83
  4. Step 4: Simplify right side
    281.93x = 54,044.14
  5. Step 5: Solve for x
    x = 54,044.14/281.93
  6. Step 6: Final answer
    x = 191.69

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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.