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Finding the Fourth Proportional to 284.16, 426.24 and 199.68

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Solution

The fourth proportional to 284.16, 426.24 and 199.68 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 426.24 = 199.68 : x
  2. Step 2: Convert to fraction form
    284.16/426.24 = 199.68/x
  3. Step 3: Cross multiply
    284.16x = 426.24 × 199.68
  4. Step 4: Simplify right side
    284.16x = 85,111.60
  5. Step 5: Solve for x
    x = 85,111.60/284.16
  6. Step 6: Final answer
    x = 299.52

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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.