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Finding the Fourth Proportional to 284.84, 427.26 and 122.64

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Solution

The fourth proportional to 284.84, 427.26 and 122.64 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.84 : 427.26 = 122.64 : x
  2. Step 2: Convert to fraction form
    284.84/427.26 = 122.64/x
  3. Step 3: Cross multiply
    284.84x = 427.26 × 122.64
  4. Step 4: Simplify right side
    284.84x = 52,399.17
  5. Step 5: Solve for x
    x = 52,399.17/284.84
  6. Step 6: Final answer
    x = 183.96

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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.