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Finding the Fourth Proportional to 179.87, 267.91 and 178.97

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Solution

The fourth proportional to 179.87, 267.91 and 178.97 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.87 : 267.91 = 178.97 : x
  2. Step 2: Convert to fraction form
    179.87/267.91 = 178.97/x
  3. Step 3: Cross multiply
    179.87x = 267.91 × 178.97
  4. Step 4: Simplify right side
    179.87x = 47,946.07
  5. Step 5: Solve for x
    x = 47,946.07/179.87
  6. Step 6: Final answer
    x = 266.57

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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.