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Finding the Fourth Proportional to 179.76, 267.69 and 177.73

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Solution

The fourth proportional to 179.76, 267.69 and 177.73 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 267.69 = 177.73 : x
  2. Step 2: Convert to fraction form
    179.76/267.69 = 177.73/x
  3. Step 3: Cross multiply
    179.76x = 267.69 × 177.73
  4. Step 4: Simplify right side
    179.76x = 47,576.54
  5. Step 5: Solve for x
    x = 47,576.54/179.76
  6. Step 6: Final answer
    x = 264.67

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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.