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Finding the Fourth Proportional to 143.57, 216.42 and 135.21

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Solution

The fourth proportional to 143.57, 216.42 and 135.21 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.57 : 216.42 = 135.21 : x
  2. Step 2: Convert to fraction form
    143.57/216.42 = 135.21/x
  3. Step 3: Cross multiply
    143.57x = 216.42 × 135.21
  4. Step 4: Simplify right side
    143.57x = 29,262.22
  5. Step 5: Solve for x
    x = 29,262.22/143.57
  6. Step 6: Final answer
    x = 203.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.