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Finding the Fourth Proportional to 255.44, 381.62 and 177.84

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Solution

The fourth proportional to 255.44, 381.62 and 177.84 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.44 : 381.62 = 177.84 : x
  2. Step 2: Convert to fraction form
    255.44/381.62 = 177.84/x
  3. Step 3: Cross multiply
    255.44x = 381.62 × 177.84
  4. Step 4: Simplify right side
    255.44x = 67,867.30
  5. Step 5: Solve for x
    x = 67,867.30/255.44
  6. Step 6: Final answer
    x = 265.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.