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Finding the Fourth Proportional to 237.49, 327.56 and 158.76

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Solution

The fourth proportional to 237.49, 327.56 and 158.76 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.49 : 327.56 = 158.76 : x
  2. Step 2: Convert to fraction form
    237.49/327.56 = 158.76/x
  3. Step 3: Cross multiply
    237.49x = 327.56 × 158.76
  4. Step 4: Simplify right side
    237.49x = 52,003.82
  5. Step 5: Solve for x
    x = 52,003.82/237.49
  6. Step 6: Final answer
    x = 218.97

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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.