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Finding the Fourth Proportional to 255.06, 381.19 and 186.12

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Solution

The fourth proportional to 255.06, 381.19 and 186.12 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.06 : 381.19 = 186.12 : x
  2. Step 2: Convert to fraction form
    255.06/381.19 = 186.12/x
  3. Step 3: Cross multiply
    255.06x = 381.19 × 186.12
  4. Step 4: Simplify right side
    255.06x = 70,947.08
  5. Step 5: Solve for x
    x = 70,947.08/255.06
  6. Step 6: Final answer
    x = 278.16

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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.