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Finding the Fourth Proportional to 237.10, 327.02 and 143.81

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Solution

The fourth proportional to 237.10, 327.02 and 143.81 is: 198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.10 : 327.02 = 143.81 : x
  2. Step 2: Convert to fraction form
    237.10/327.02 = 143.81/x
  3. Step 3: Cross multiply
    237.10x = 327.02 × 143.81
  4. Step 4: Simplify right side
    237.10x = 47,028.75
  5. Step 5: Solve for x
    x = 47,028.75/237.10
  6. Step 6: Final answer
    x = 198.35

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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.