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Finding the Fourth Proportional to 237.15, 327.09 and 178.35

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Solution

The fourth proportional to 237.15, 327.09 and 178.35 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.15 : 327.09 = 178.35 : x
  2. Step 2: Convert to fraction form
    237.15/327.09 = 178.35/x
  3. Step 3: Cross multiply
    237.15x = 327.09 × 178.35
  4. Step 4: Simplify right side
    237.15x = 58,336.50
  5. Step 5: Solve for x
    x = 58,336.50/237.15
  6. Step 6: Final answer
    x = 245.99

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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.