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Finding the Fourth Proportional to 255.56, 382.52 and 209.59

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Solution

The fourth proportional to 255.56, 382.52 and 209.59 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.56 : 382.52 = 209.59 : x
  2. Step 2: Convert to fraction form
    255.56/382.52 = 209.59/x
  3. Step 3: Cross multiply
    255.56x = 382.52 × 209.59
  4. Step 4: Simplify right side
    255.56x = 80,171.93
  5. Step 5: Solve for x
    x = 80,171.93/255.56
  6. Step 6: Final answer
    x = 313.72

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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.