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Finding the Fourth Proportional to 267.40, 369 and 150.96

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Solution

The fourth proportional to 267.40, 369 and 150.96 is: 208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 369 = 150.96 : x
  2. Step 2: Convert to fraction form
    267.40/369 = 150.96/x
  3. Step 3: Cross multiply
    267.40x = 369 × 150.96
  4. Step 4: Simplify right side
    267.40x = 55,704.24
  5. Step 5: Solve for x
    x = 55,704.24/267.40
  6. Step 6: Final answer
    x = 208.32

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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.