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Finding the Fourth Proportional to 425.28, 637.94 and 178.44

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Solution

The fourth proportional to 425.28, 637.94 and 178.44 is: 267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.28 : 637.94 = 178.44 : x
  2. Step 2: Convert to fraction form
    425.28/637.94 = 178.44/x
  3. Step 3: Cross multiply
    425.28x = 637.94 × 178.44
  4. Step 4: Simplify right side
    425.28x = 113,834.01
  5. Step 5: Solve for x
    x = 113,834.01/425.28
  6. Step 6: Final answer
    x = 267.67

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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.