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Finding the Fourth Proportional to 179.40, 269.06 and 105.23

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Solution

The fourth proportional to 179.40, 269.06 and 105.23 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 269.06 = 105.23 : x
  2. Step 2: Convert to fraction form
    179.40/269.06 = 105.23/x
  3. Step 3: Cross multiply
    179.40x = 269.06 × 105.23
  4. Step 4: Simplify right side
    179.40x = 28,314.12
  5. Step 5: Solve for x
    x = 28,314.12/179.40
  6. Step 6: Final answer
    x = 157.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.