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Finding the Fourth Proportional to 255.88, 353.02 and 162.60

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Solution

The fourth proportional to 255.88, 353.02 and 162.60 is: 224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.88 : 353.02 = 162.60 : x
  2. Step 2: Convert to fraction form
    255.88/353.02 = 162.60/x
  3. Step 3: Cross multiply
    255.88x = 353.02 × 162.60
  4. Step 4: Simplify right side
    255.88x = 57,401.05
  5. Step 5: Solve for x
    x = 57,401.05/255.88
  6. Step 6: Final answer
    x = 224.33

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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.