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Finding the Fourth Proportional to 143.18, 214.77 and 120.14

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Solution

The fourth proportional to 143.18, 214.77 and 120.14 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.18 : 214.77 = 120.14 : x
  2. Step 2: Convert to fraction form
    143.18/214.77 = 120.14/x
  3. Step 3: Cross multiply
    143.18x = 214.77 × 120.14
  4. Step 4: Simplify right side
    143.18x = 25,802.47
  5. Step 5: Solve for x
    x = 25,802.47/143.18
  6. Step 6: Final answer
    x = 180.21

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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.