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Finding the Fourth Proportional to 237.56, 327.66 and 159.88

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Solution

The fourth proportional to 237.56, 327.66 and 159.88 is: 220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.56 : 327.66 = 159.88 : x
  2. Step 2: Convert to fraction form
    237.56/327.66 = 159.88/x
  3. Step 3: Cross multiply
    237.56x = 327.66 × 159.88
  4. Step 4: Simplify right side
    237.56x = 52,386.28
  5. Step 5: Solve for x
    x = 52,386.28/237.56
  6. Step 6: Final answer
    x = 220.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.