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Finding the Fourth Proportional to 238.72, 357.84 and 142.24

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Solution

The fourth proportional to 238.72, 357.84 and 142.24 is: 213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 357.84 = 142.24 : x
  2. Step 2: Convert to fraction form
    238.72/357.84 = 142.24/x
  3. Step 3: Cross multiply
    238.72x = 357.84 × 142.24
  4. Step 4: Simplify right side
    238.72x = 50,899.16
  5. Step 5: Solve for x
    x = 50,899.16/238.72
  6. Step 6: Final answer
    x = 213.22

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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.