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Finding the Fourth Proportional to 163.02, 224.82 and 144.78

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Solution

The fourth proportional to 163.02, 224.82 and 144.78 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 224.82 = 144.78 : x
  2. Step 2: Convert to fraction form
    163.02/224.82 = 144.78/x
  3. Step 3: Cross multiply
    163.02x = 224.82 × 144.78
  4. Step 4: Simplify right side
    163.02x = 32,549.44
  5. Step 5: Solve for x
    x = 32,549.44/163.02
  6. Step 6: Final answer
    x = 199.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.