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Finding the Fourth Proportional to 283.98, 426.14 and 162.33

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Solution

The fourth proportional to 283.98, 426.14 and 162.33 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.98 : 426.14 = 162.33 : x
  2. Step 2: Convert to fraction form
    283.98/426.14 = 162.33/x
  3. Step 3: Cross multiply
    283.98x = 426.14 × 162.33
  4. Step 4: Simplify right side
    283.98x = 69,176.76
  5. Step 5: Solve for x
    x = 69,176.76/283.98
  6. Step 6: Final answer
    x = 243.59

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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.