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Finding the Fourth Proportional to 281.35, 421.86 and 118.95

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Solution

The fourth proportional to 281.35, 421.86 and 118.95 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.35 : 421.86 = 118.95 : x
  2. Step 2: Convert to fraction form
    281.35/421.86 = 118.95/x
  3. Step 3: Cross multiply
    281.35x = 421.86 × 118.95
  4. Step 4: Simplify right side
    281.35x = 50,180.25
  5. Step 5: Solve for x
    x = 50,180.25/281.35
  6. Step 6: Final answer
    x = 178.36

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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.