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Finding the Fourth Proportional to 180.13, 248.78 and 121.81

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Solution

The fourth proportional to 180.13, 248.78 and 121.81 is: 168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 248.78 = 121.81 : x
  2. Step 2: Convert to fraction form
    180.13/248.78 = 121.81/x
  3. Step 3: Cross multiply
    180.13x = 248.78 × 121.81
  4. Step 4: Simplify right side
    180.13x = 30,303.89
  5. Step 5: Solve for x
    x = 30,303.89/180.13
  6. Step 6: Final answer
    x = 168.23

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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.