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Finding the Fourth Proportional to 180.09, 248.23 and 114.48

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Solution

The fourth proportional to 180.09, 248.23 and 114.48 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 248.23 = 114.48 : x
  2. Step 2: Convert to fraction form
    180.09/248.23 = 114.48/x
  3. Step 3: Cross multiply
    180.09x = 248.23 × 114.48
  4. Step 4: Simplify right side
    180.09x = 28,417.51
  5. Step 5: Solve for x
    x = 28,417.51/180.09
  6. Step 6: Final answer
    x = 157.80

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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.