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Finding the Fourth Proportional to 180.28, 248.16 and 133.50

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Solution

The fourth proportional to 180.28, 248.16 and 133.50 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 248.16 = 133.50 : x
  2. Step 2: Convert to fraction form
    180.28/248.16 = 133.50/x
  3. Step 3: Cross multiply
    180.28x = 248.16 × 133.50
  4. Step 4: Simplify right side
    180.28x = 33,129.40
  5. Step 5: Solve for x
    x = 33,129.40/180.28
  6. Step 6: Final answer
    x = 183.77

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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.