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Finding the Fourth Proportional to 179.28, 267.64 and 167.32

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Solution

The fourth proportional to 179.28, 267.64 and 167.32 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.28 : 267.64 = 167.32 : x
  2. Step 2: Convert to fraction form
    179.28/267.64 = 167.32/x
  3. Step 3: Cross multiply
    179.28x = 267.64 × 167.32
  4. Step 4: Simplify right side
    179.28x = 44,779.94
  5. Step 5: Solve for x
    x = 44,779.94/179.28
  6. Step 6: Final answer
    x = 249.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.