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Finding the Fourth Proportional to 179.88, 267.78 and 178.80

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Solution

The fourth proportional to 179.88, 267.78 and 178.80 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 267.78 = 178.80 : x
  2. Step 2: Convert to fraction form
    179.88/267.78 = 178.80/x
  3. Step 3: Cross multiply
    179.88x = 267.78 × 178.80
  4. Step 4: Simplify right side
    179.88x = 47,879.06
  5. Step 5: Solve for x
    x = 47,879.06/179.88
  6. Step 6: Final answer
    x = 266.17

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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.