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Finding the Fourth Proportional to 238.46, 357.60 and 142.34

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Solution

The fourth proportional to 238.46, 357.60 and 142.34 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.46 : 357.60 = 142.34 : x
  2. Step 2: Convert to fraction form
    238.46/357.60 = 142.34/x
  3. Step 3: Cross multiply
    238.46x = 357.60 × 142.34
  4. Step 4: Simplify right side
    238.46x = 50,900.78
  5. Step 5: Solve for x
    x = 50,900.78/238.46
  6. Step 6: Final answer
    x = 213.46

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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.