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Finding the Fourth Proportional to 237.09, 327.12 and 158.40

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Solution

The fourth proportional to 237.09, 327.12 and 158.40 is: 218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.09 : 327.12 = 158.40 : x
  2. Step 2: Convert to fraction form
    237.09/327.12 = 158.40/x
  3. Step 3: Cross multiply
    237.09x = 327.12 × 158.40
  4. Step 4: Simplify right side
    237.09x = 51,815.81
  5. Step 5: Solve for x
    x = 51,815.81/237.09
  6. Step 6: Final answer
    x = 218.55

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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.