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Finding the Fourth Proportional to 267.44, 368.89 and 169.16

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Solution

The fourth proportional to 267.44, 368.89 and 169.16 is: 233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 368.89 = 169.16 : x
  2. Step 2: Convert to fraction form
    267.44/368.89 = 169.16/x
  3. Step 3: Cross multiply
    267.44x = 368.89 × 169.16
  4. Step 4: Simplify right side
    267.44x = 62,399.17
  5. Step 5: Solve for x
    x = 62,399.17/267.44
  6. Step 6: Final answer
    x = 233.32

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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.