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Finding the Fourth Proportional to 255.27, 382.80 and 118.22

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Solution

The fourth proportional to 255.27, 382.80 and 118.22 is: 177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.27 : 382.80 = 118.22 : x
  2. Step 2: Convert to fraction form
    255.27/382.80 = 118.22/x
  3. Step 3: Cross multiply
    255.27x = 382.80 × 118.22
  4. Step 4: Simplify right side
    255.27x = 45,252.70
  5. Step 5: Solve for x
    x = 45,252.70/255.27
  6. Step 6: Final answer
    x = 177.27

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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.