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Finding the Fourth Proportional to 285.28, 427.96 and 122.96

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Solution

The fourth proportional to 285.28, 427.96 and 122.96 is: 184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 427.96 = 122.96 : x
  2. Step 2: Convert to fraction form
    285.28/427.96 = 122.96/x
  3. Step 3: Cross multiply
    285.28x = 427.96 × 122.96
  4. Step 4: Simplify right side
    285.28x = 52,621.96
  5. Step 5: Solve for x
    x = 52,621.96/285.28
  6. Step 6: Final answer
    x = 184.46

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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.