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Finding the Fourth Proportional to 144.96, 200.25 and 128.49

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Solution

The fourth proportional to 144.96, 200.25 and 128.49 is: 177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 200.25 = 128.49 : x
  2. Step 2: Convert to fraction form
    144.96/200.25 = 128.49/x
  3. Step 3: Cross multiply
    144.96x = 200.25 × 128.49
  4. Step 4: Simplify right side
    144.96x = 25,730.12
  5. Step 5: Solve for x
    x = 25,730.12/144.96
  6. Step 6: Final answer
    x = 177.50

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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.