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Finding the Fourth Proportional to 255.63, 352.77 and 142.07

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Solution

The fourth proportional to 255.63, 352.77 and 142.07 is: 196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.63 : 352.77 = 142.07 : x
  2. Step 2: Convert to fraction form
    255.63/352.77 = 142.07/x
  3. Step 3: Cross multiply
    255.63x = 352.77 × 142.07
  4. Step 4: Simplify right side
    255.63x = 50,118.13
  5. Step 5: Solve for x
    x = 50,118.13/255.63
  6. Step 6: Final answer
    x = 196.06

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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.