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Finding the Fourth Proportional to 179.75, 269.67 and 51.50

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Solution

The fourth proportional to 179.75, 269.67 and 51.50 is: 77.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.75 : 269.67 = 51.50 : x
  2. Step 2: Convert to fraction form
    179.75/269.67 = 51.50/x
  3. Step 3: Cross multiply
    179.75x = 269.67 × 51.50
  4. Step 4: Simplify right side
    179.75x = 13,888.01
  5. Step 5: Solve for x
    x = 13,888.01/179.75
  6. Step 6: Final answer
    x = 77.26

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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.