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Finding the Fourth Proportional to 255.79, 352.97 and 145.25

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Solution

The fourth proportional to 255.79, 352.97 and 145.25 is: 200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.79 : 352.97 = 145.25 : x
  2. Step 2: Convert to fraction form
    255.79/352.97 = 145.25/x
  3. Step 3: Cross multiply
    255.79x = 352.97 × 145.25
  4. Step 4: Simplify right side
    255.79x = 51,268.27
  5. Step 5: Solve for x
    x = 51,268.27/255.79
  6. Step 6: Final answer
    x = 200.43

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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.