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Finding the Fourth Proportional to 180.52, 249 and 131.24

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Solution

The fourth proportional to 180.52, 249 and 131.24 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 249 = 131.24 : x
  2. Step 2: Convert to fraction form
    180.52/249 = 131.24/x
  3. Step 3: Cross multiply
    180.52x = 249 × 131.24
  4. Step 4: Simplify right side
    180.52x = 32,678.76
  5. Step 5: Solve for x
    x = 32,678.76/180.52
  6. Step 6: Final answer
    x = 181.03

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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.