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Finding the Fourth Proportional to 144.67, 216.64 and 121.79

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Solution

The fourth proportional to 144.67, 216.64 and 121.79 is: 182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.67 : 216.64 = 121.79 : x
  2. Step 2: Convert to fraction form
    144.67/216.64 = 121.79/x
  3. Step 3: Cross multiply
    144.67x = 216.64 × 121.79
  4. Step 4: Simplify right side
    144.67x = 26,384.59
  5. Step 5: Solve for x
    x = 26,384.59/144.67
  6. Step 6: Final answer
    x = 182.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.