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Finding the Fourth Proportional to 284.96, 427.51 and 122.69

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Solution

The fourth proportional to 284.96, 427.51 and 122.69 is: 184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.96 : 427.51 = 122.69 : x
  2. Step 2: Convert to fraction form
    284.96/427.51 = 122.69/x
  3. Step 3: Cross multiply
    284.96x = 427.51 × 122.69
  4. Step 4: Simplify right side
    284.96x = 52,450.59
  5. Step 5: Solve for x
    x = 52,450.59/284.96
  6. Step 6: Final answer
    x = 184.06

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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.