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Finding the Fourth Proportional to 237.08, 327.15 and 178.76

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Solution

The fourth proportional to 237.08, 327.15 and 178.76 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.08 : 327.15 = 178.76 : x
  2. Step 2: Convert to fraction form
    237.08/327.15 = 178.76/x
  3. Step 3: Cross multiply
    237.08x = 327.15 × 178.76
  4. Step 4: Simplify right side
    237.08x = 58,479.70
  5. Step 5: Solve for x
    x = 58,479.70/237.08
  6. Step 6: Final answer
    x = 246.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.