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Finding the Fourth Proportional to 144.63, 216.96 and 135.15

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Solution

The fourth proportional to 144.63, 216.96 and 135.15 is: 202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.63 : 216.96 = 135.15 : x
  2. Step 2: Convert to fraction form
    144.63/216.96 = 135.15/x
  3. Step 3: Cross multiply
    144.63x = 216.96 × 135.15
  4. Step 4: Simplify right side
    144.63x = 29,322.14
  5. Step 5: Solve for x
    x = 29,322.14/144.63
  6. Step 6: Final answer
    x = 202.74

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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.