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Finding the Fourth Proportional to 259.94, 389.78 and 177.80

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Solution

The fourth proportional to 259.94, 389.78 and 177.80 is: 266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.94 : 389.78 = 177.80 : x
  2. Step 2: Convert to fraction form
    259.94/389.78 = 177.80/x
  3. Step 3: Cross multiply
    259.94x = 389.78 × 177.80
  4. Step 4: Simplify right side
    259.94x = 69,300.05
  5. Step 5: Solve for x
    x = 69,300.05/259.94
  6. Step 6: Final answer
    x = 266.61

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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.