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Finding the Fourth Proportional to 267.63, 368.89 and 179.08

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Solution

The fourth proportional to 267.63, 368.89 and 179.08 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.63 : 368.89 = 179.08 : x
  2. Step 2: Convert to fraction form
    267.63/368.89 = 179.08/x
  3. Step 3: Cross multiply
    267.63x = 368.89 × 179.08
  4. Step 4: Simplify right side
    267.63x = 66,059.91
  5. Step 5: Solve for x
    x = 66,059.91/267.63
  6. Step 6: Final answer
    x = 246.83

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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.