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Finding the Fourth Proportional to 185.34, 255.78 and 102.47

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Solution

The fourth proportional to 185.34, 255.78 and 102.47 is: 141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 255.78 = 102.47 : x
  2. Step 2: Convert to fraction form
    185.34/255.78 = 102.47/x
  3. Step 3: Cross multiply
    185.34x = 255.78 × 102.47
  4. Step 4: Simplify right side
    185.34x = 26,208.50
  5. Step 5: Solve for x
    x = 26,208.50/185.34
  6. Step 6: Final answer
    x = 141.41

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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.