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Finding the Fourth Proportional to 238.05, 357.05 and 75.76

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Solution

The fourth proportional to 238.05, 357.05 and 75.76 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.05 : 357.05 = 75.76 : x
  2. Step 2: Convert to fraction form
    238.05/357.05 = 75.76/x
  3. Step 3: Cross multiply
    238.05x = 357.05 × 75.76
  4. Step 4: Simplify right side
    238.05x = 27,049.40
  5. Step 5: Solve for x
    x = 27,049.40/238.05
  6. Step 6: Final answer
    x = 113.63

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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.