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Finding the Fourth Proportional to 281.34, 421.67 and 127.31

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Solution

The fourth proportional to 281.34, 421.67 and 127.31 is: 190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.34 : 421.67 = 127.31 : x
  2. Step 2: Convert to fraction form
    281.34/421.67 = 127.31/x
  3. Step 3: Cross multiply
    281.34x = 421.67 × 127.31
  4. Step 4: Simplify right side
    281.34x = 53,681.02
  5. Step 5: Solve for x
    x = 53,681.02/281.34
  6. Step 6: Final answer
    x = 190.80

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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.