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Finding the Fourth Proportional to 237.29, 327.66 and 154.36

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Solution

The fourth proportional to 237.29, 327.66 and 154.36 is: 213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.29 : 327.66 = 154.36 : x
  2. Step 2: Convert to fraction form
    237.29/327.66 = 154.36/x
  3. Step 3: Cross multiply
    237.29x = 327.66 × 154.36
  4. Step 4: Simplify right side
    237.29x = 50,577.43
  5. Step 5: Solve for x
    x = 50,577.43/237.29
  6. Step 6: Final answer
    x = 213.15

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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.