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Finding the Fourth Proportional to 180.78, 248.91 and 180.24

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Solution

The fourth proportional to 180.78, 248.91 and 180.24 is: 248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 248.91 = 180.24 : x
  2. Step 2: Convert to fraction form
    180.78/248.91 = 180.24/x
  3. Step 3: Cross multiply
    180.78x = 248.91 × 180.24
  4. Step 4: Simplify right side
    180.78x = 44,863.54
  5. Step 5: Solve for x
    x = 44,863.54/180.78
  6. Step 6: Final answer
    x = 248.17

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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.