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Finding the Fourth Proportional to 238.84, 357.54 and 142.84

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Solution

The fourth proportional to 238.84, 357.54 and 142.84 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.84 : 357.54 = 142.84 : x
  2. Step 2: Convert to fraction form
    238.84/357.54 = 142.84/x
  3. Step 3: Cross multiply
    238.84x = 357.54 × 142.84
  4. Step 4: Simplify right side
    238.84x = 51,071.01
  5. Step 5: Solve for x
    x = 51,071.01/238.84
  6. Step 6: Final answer
    x = 213.83

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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.