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Finding the Fourth Proportional to 144.18, 217.28 and 135.07

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Solution

The fourth proportional to 144.18, 217.28 and 135.07 is: 203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.18 : 217.28 = 135.07 : x
  2. Step 2: Convert to fraction form
    144.18/217.28 = 135.07/x
  3. Step 3: Cross multiply
    144.18x = 217.28 × 135.07
  4. Step 4: Simplify right side
    144.18x = 29,347.80
  5. Step 5: Solve for x
    x = 29,347.80/144.18
  6. Step 6: Final answer
    x = 203.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.