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Finding the Fourth Proportional to 284.64, 426.72 and 122.08

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Solution

The fourth proportional to 284.64, 426.72 and 122.08 is: 183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 426.72 = 122.08 : x
  2. Step 2: Convert to fraction form
    284.64/426.72 = 122.08/x
  3. Step 3: Cross multiply
    284.64x = 426.72 × 122.08
  4. Step 4: Simplify right side
    284.64x = 52,093.98
  5. Step 5: Solve for x
    x = 52,093.98/284.64
  6. Step 6: Final answer
    x = 183.02

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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.