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Finding the Fourth Proportional to 284.64, 426.81 and 122.25

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Solution

The fourth proportional to 284.64, 426.81 and 122.25 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 426.81 = 122.25 : x
  2. Step 2: Convert to fraction form
    284.64/426.81 = 122.25/x
  3. Step 3: Cross multiply
    284.64x = 426.81 × 122.25
  4. Step 4: Simplify right side
    284.64x = 52,177.52
  5. Step 5: Solve for x
    x = 52,177.52/284.64
  6. Step 6: Final answer
    x = 183.31

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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.