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Finding the Fourth Proportional to 185.25, 255.64 and 102.36

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Solution

The fourth proportional to 185.25, 255.64 and 102.36 is: 141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 255.64 = 102.36 : x
  2. Step 2: Convert to fraction form
    185.25/255.64 = 102.36/x
  3. Step 3: Cross multiply
    185.25x = 255.64 × 102.36
  4. Step 4: Simplify right side
    185.25x = 26,166.48
  5. Step 5: Solve for x
    x = 26,166.48/185.25
  6. Step 6: Final answer
    x = 141.25

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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.