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Finding the Fourth Proportional to 281.84, 422.80 and 127.77

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Solution

The fourth proportional to 281.84, 422.80 and 127.77 is: 191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.84 : 422.80 = 127.77 : x
  2. Step 2: Convert to fraction form
    281.84/422.80 = 127.77/x
  3. Step 3: Cross multiply
    281.84x = 422.80 × 127.77
  4. Step 4: Simplify right side
    281.84x = 54,019.04
  5. Step 5: Solve for x
    x = 54,019.04/281.84
  6. Step 6: Final answer
    x = 191.67

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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.