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Finding the Fourth Proportional to 179.26, 245.92 and 174.46

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Solution

The fourth proportional to 179.26, 245.92 and 174.46 is: 239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.26 : 245.92 = 174.46 : x
  2. Step 2: Convert to fraction form
    179.26/245.92 = 174.46/x
  3. Step 3: Cross multiply
    179.26x = 245.92 × 174.46
  4. Step 4: Simplify right side
    179.26x = 42,903.20
  5. Step 5: Solve for x
    x = 42,903.20/179.26
  6. Step 6: Final answer
    x = 239.34

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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.