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Finding the Fourth Proportional to 180.51, 249.33 and 137.04

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Solution

The fourth proportional to 180.51, 249.33 and 137.04 is: 189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 249.33 = 137.04 : x
  2. Step 2: Convert to fraction form
    180.51/249.33 = 137.04/x
  3. Step 3: Cross multiply
    180.51x = 249.33 × 137.04
  4. Step 4: Simplify right side
    180.51x = 34,168.18
  5. Step 5: Solve for x
    x = 34,168.18/180.51
  6. Step 6: Final answer
    x = 189.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.