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Finding the Fourth Proportional to 185.08, 255.40 and 102.17

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Solution

The fourth proportional to 185.08, 255.40 and 102.17 is: 140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.08 : 255.40 = 102.17 : x
  2. Step 2: Convert to fraction form
    185.08/255.40 = 102.17/x
  3. Step 3: Cross multiply
    185.08x = 255.40 × 102.17
  4. Step 4: Simplify right side
    185.08x = 26,094.22
  5. Step 5: Solve for x
    x = 26,094.22/185.08
  6. Step 6: Final answer
    x = 140.99

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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.