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Finding the Fourth Proportional to 281.25, 421.86 and 127.15

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Solution

The fourth proportional to 281.25, 421.86 and 127.15 is: 190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 421.86 = 127.15 : x
  2. Step 2: Convert to fraction form
    281.25/421.86 = 127.15/x
  3. Step 3: Cross multiply
    281.25x = 421.86 × 127.15
  4. Step 4: Simplify right side
    281.25x = 53,638.92
  5. Step 5: Solve for x
    x = 53,638.92/281.25
  6. Step 6: Final answer
    x = 190.72

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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.