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Finding the Fourth Proportional to 143.40, 213.51 and 142.60

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Solution

The fourth proportional to 143.40, 213.51 and 142.60 is: 212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 213.51 = 142.60 : x
  2. Step 2: Convert to fraction form
    143.40/213.51 = 142.60/x
  3. Step 3: Cross multiply
    143.40x = 213.51 × 142.60
  4. Step 4: Simplify right side
    143.40x = 30,446.53
  5. Step 5: Solve for x
    x = 30,446.53/143.40
  6. Step 6: Final answer
    x = 212.32

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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.