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Finding the Fourth Proportional to 180.91, 249.65 and 102.23

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Solution

The fourth proportional to 180.91, 249.65 and 102.23 is: 141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.91 : 249.65 = 102.23 : x
  2. Step 2: Convert to fraction form
    180.91/249.65 = 102.23/x
  3. Step 3: Cross multiply
    180.91x = 249.65 × 102.23
  4. Step 4: Simplify right side
    180.91x = 25,521.28
  5. Step 5: Solve for x
    x = 25,521.28/180.91
  6. Step 6: Final answer
    x = 141.07

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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.