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Finding the Fourth Proportional to 143.82, 214.65 and 135.18

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Solution

The fourth proportional to 143.82, 214.65 and 135.18 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.82 : 214.65 = 135.18 : x
  2. Step 2: Convert to fraction form
    143.82/214.65 = 135.18/x
  3. Step 3: Cross multiply
    143.82x = 214.65 × 135.18
  4. Step 4: Simplify right side
    143.82x = 29,016.39
  5. Step 5: Solve for x
    x = 29,016.39/143.82
  6. Step 6: Final answer
    x = 201.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.