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Finding the Fourth Proportional to 179.05, 244.94 and 178.24

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Solution

The fourth proportional to 179.05, 244.94 and 178.24 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.05 : 244.94 = 178.24 : x
  2. Step 2: Convert to fraction form
    179.05/244.94 = 178.24/x
  3. Step 3: Cross multiply
    179.05x = 244.94 × 178.24
  4. Step 4: Simplify right side
    179.05x = 43,658.11
  5. Step 5: Solve for x
    x = 43,658.11/179.05
  6. Step 6: Final answer
    x = 243.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.