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Finding the Fourth Proportional to 238.19, 357.05 and 75.76

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Solution

The fourth proportional to 238.19, 357.05 and 75.76 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.19 : 357.05 = 75.76 : x
  2. Step 2: Convert to fraction form
    238.19/357.05 = 75.76/x
  3. Step 3: Cross multiply
    238.19x = 357.05 × 75.76
  4. Step 4: Simplify right side
    238.19x = 27,050.11
  5. Step 5: Solve for x
    x = 27,050.11/238.19
  6. Step 6: Final answer
    x = 113.57

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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.