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Finding the Fourth Proportional to 255.09, 382.53 and 79.38

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Solution

The fourth proportional to 255.09, 382.53 and 79.38 is: 119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.09 : 382.53 = 79.38 : x
  2. Step 2: Convert to fraction form
    255.09/382.53 = 79.38/x
  3. Step 3: Cross multiply
    255.09x = 382.53 × 79.38
  4. Step 4: Simplify right side
    255.09x = 30,365.23
  5. Step 5: Solve for x
    x = 30,365.23/255.09
  6. Step 6: Final answer
    x = 119.04

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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.