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Finding the Fourth Proportional to 179.22, 267.45 and 164.88

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Solution

The fourth proportional to 179.22, 267.45 and 164.88 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.22 : 267.45 = 164.88 : x
  2. Step 2: Convert to fraction form
    179.22/267.45 = 164.88/x
  3. Step 3: Cross multiply
    179.22x = 267.45 × 164.88
  4. Step 4: Simplify right side
    179.22x = 44,097.16
  5. Step 5: Solve for x
    x = 44,097.16/179.22
  6. Step 6: Final answer
    x = 246.05

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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.