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Finding the Fourth Proportional to 237.39, 356.04 and 75.12

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Solution

The fourth proportional to 237.39, 356.04 and 75.12 is: 112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.39 : 356.04 = 75.12 : x
  2. Step 2: Convert to fraction form
    237.39/356.04 = 75.12/x
  3. Step 3: Cross multiply
    237.39x = 356.04 × 75.12
  4. Step 4: Simplify right side
    237.39x = 26,745.72
  5. Step 5: Solve for x
    x = 26,745.72/237.39
  6. Step 6: Final answer
    x = 112.67

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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.