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Finding the Fourth Proportional to 179.82, 267.84 and 178.74

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Solution

The fourth proportional to 179.82, 267.84 and 178.74 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.82 : 267.84 = 178.74 : x
  2. Step 2: Convert to fraction form
    179.82/267.84 = 178.74/x
  3. Step 3: Cross multiply
    179.82x = 267.84 × 178.74
  4. Step 4: Simplify right side
    179.82x = 47,873.72
  5. Step 5: Solve for x
    x = 47,873.72/179.82
  6. Step 6: Final answer
    x = 266.23

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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.