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Finding the Fourth Proportional to 179.44, 269.19 and 51.19

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Solution

The fourth proportional to 179.44, 269.19 and 51.19 is: 76.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.44 : 269.19 = 51.19 : x
  2. Step 2: Convert to fraction form
    179.44/269.19 = 51.19/x
  3. Step 3: Cross multiply
    179.44x = 269.19 × 51.19
  4. Step 4: Simplify right side
    179.44x = 13,779.16
  5. Step 5: Solve for x
    x = 13,779.16/179.44
  6. Step 6: Final answer
    x = 76.79

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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.