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Finding the Fourth Proportional to 255.87, 352.74 and 162.56

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Solution

The fourth proportional to 255.87, 352.74 and 162.56 is: 224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.87 : 352.74 = 162.56 : x
  2. Step 2: Convert to fraction form
    255.87/352.74 = 162.56/x
  3. Step 3: Cross multiply
    255.87x = 352.74 × 162.56
  4. Step 4: Simplify right side
    255.87x = 57,339.65
  5. Step 5: Solve for x
    x = 57,339.65/255.87
  6. Step 6: Final answer
    x = 224.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.