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Finding the Fourth Proportional to 142.35, 213.31 and 137.08

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Solution

The fourth proportional to 142.35, 213.31 and 137.08 is: 205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 213.31 = 137.08 : x
  2. Step 2: Convert to fraction form
    142.35/213.31 = 137.08/x
  3. Step 3: Cross multiply
    142.35x = 213.31 × 137.08
  4. Step 4: Simplify right side
    142.35x = 29,240.53
  5. Step 5: Solve for x
    x = 29,240.53/142.35
  6. Step 6: Final answer
    x = 205.41

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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.