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Finding the Fourth Proportional to 237.08, 327.14 and 154.31

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Solution

The fourth proportional to 237.08, 327.14 and 154.31 is: 212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.08 : 327.14 = 154.31 : x
  2. Step 2: Convert to fraction form
    237.08/327.14 = 154.31/x
  3. Step 3: Cross multiply
    237.08x = 327.14 × 154.31
  4. Step 4: Simplify right side
    237.08x = 50,479.14
  5. Step 5: Solve for x
    x = 50,479.14/237.08
  6. Step 6: Final answer
    x = 212.92

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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.