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Finding the Fourth Proportional to 143.51, 214.29 and 129.67

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Solution

The fourth proportional to 143.51, 214.29 and 129.67 is: 193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.51 : 214.29 = 129.67 : x
  2. Step 2: Convert to fraction form
    143.51/214.29 = 129.67/x
  3. Step 3: Cross multiply
    143.51x = 214.29 × 129.67
  4. Step 4: Simplify right side
    143.51x = 27,786.45
  5. Step 5: Solve for x
    x = 27,786.45/143.51
  6. Step 6: Final answer
    x = 193.63

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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.