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Finding the Fourth Proportional to 284.34, 426.14 and 155.94

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Solution

The fourth proportional to 284.34, 426.14 and 155.94 is: 233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.34 : 426.14 = 155.94 : x
  2. Step 2: Convert to fraction form
    284.34/426.14 = 155.94/x
  3. Step 3: Cross multiply
    284.34x = 426.14 × 155.94
  4. Step 4: Simplify right side
    284.34x = 66,452.27
  5. Step 5: Solve for x
    x = 66,452.27/284.34
  6. Step 6: Final answer
    x = 233.71

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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.