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Finding the Fourth Proportional to 143.14, 214.40 and 120.36

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Solution

The fourth proportional to 143.14, 214.40 and 120.36 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.14 : 214.40 = 120.36 : x
  2. Step 2: Convert to fraction form
    143.14/214.40 = 120.36/x
  3. Step 3: Cross multiply
    143.14x = 214.40 × 120.36
  4. Step 4: Simplify right side
    143.14x = 25,805.18
  5. Step 5: Solve for x
    x = 25,805.18/143.14
  6. Step 6: Final answer
    x = 180.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.