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Finding the Fourth Proportional to 180.44, 248.90 and 151.07

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Solution

The fourth proportional to 180.44, 248.90 and 151.07 is: 208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.44 : 248.90 = 151.07 : x
  2. Step 2: Convert to fraction form
    180.44/248.90 = 151.07/x
  3. Step 3: Cross multiply
    180.44x = 248.90 × 151.07
  4. Step 4: Simplify right side
    180.44x = 37,601.19
  5. Step 5: Solve for x
    x = 37,601.19/180.44
  6. Step 6: Final answer
    x = 208.39

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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.