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Finding the Fourth Proportional to 267.42, 369.16 and 180.14

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Solution

The fourth proportional to 267.42, 369.16 and 180.14 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 369.16 = 180.14 : x
  2. Step 2: Convert to fraction form
    267.42/369.16 = 180.14/x
  3. Step 3: Cross multiply
    267.42x = 369.16 × 180.14
  4. Step 4: Simplify right side
    267.42x = 66,500.48
  5. Step 5: Solve for x
    x = 66,500.48/267.42
  6. Step 6: Final answer
    x = 248.67

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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.