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Finding the Fourth Proportional to 180.05, 248.43 and 130.33

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Solution

The fourth proportional to 180.05, 248.43 and 130.33 is: 179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 248.43 = 130.33 : x
  2. Step 2: Convert to fraction form
    180.05/248.43 = 130.33/x
  3. Step 3: Cross multiply
    180.05x = 248.43 × 130.33
  4. Step 4: Simplify right side
    180.05x = 32,377.23
  5. Step 5: Solve for x
    x = 32,377.23/180.05
  6. Step 6: Final answer
    x = 179.82

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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.