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Finding the Fourth Proportional to 144.26, 216.51 and 128.14

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Solution

The fourth proportional to 144.26, 216.51 and 128.14 is: 192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.26 : 216.51 = 128.14 : x
  2. Step 2: Convert to fraction form
    144.26/216.51 = 128.14/x
  3. Step 3: Cross multiply
    144.26x = 216.51 × 128.14
  4. Step 4: Simplify right side
    144.26x = 27,743.59
  5. Step 5: Solve for x
    x = 27,743.59/144.26
  6. Step 6: Final answer
    x = 192.32

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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.