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Finding the Fourth Proportional to 237.60, 327.66 and 158.94

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Solution

The fourth proportional to 237.60, 327.66 and 158.94 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 327.66 = 158.94 : x
  2. Step 2: Convert to fraction form
    237.60/327.66 = 158.94/x
  3. Step 3: Cross multiply
    237.60x = 327.66 × 158.94
  4. Step 4: Simplify right side
    237.60x = 52,078.28
  5. Step 5: Solve for x
    x = 52,078.28/237.60
  6. Step 6: Final answer
    x = 219.18

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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.