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Finding the Fourth Proportional to 267.64, 369.36 and 162.80

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Solution

The fourth proportional to 267.64, 369.36 and 162.80 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.64 : 369.36 = 162.80 : x
  2. Step 2: Convert to fraction form
    267.64/369.36 = 162.80/x
  3. Step 3: Cross multiply
    267.64x = 369.36 × 162.80
  4. Step 4: Simplify right side
    267.64x = 60,131.81
  5. Step 5: Solve for x
    x = 60,131.81/267.64
  6. Step 6: Final answer
    x = 224.67

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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.