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Finding the Fourth Proportional to 237.24, 327.66 and 193.80

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Solution

The fourth proportional to 237.24, 327.66 and 193.80 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.24 : 327.66 = 193.80 : x
  2. Step 2: Convert to fraction form
    237.24/327.66 = 193.80/x
  3. Step 3: Cross multiply
    237.24x = 327.66 × 193.80
  4. Step 4: Simplify right side
    237.24x = 63,500.51
  5. Step 5: Solve for x
    x = 63,500.51/237.24
  6. Step 6: Final answer
    x = 267.66

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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.