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Finding the Fourth Proportional to 237.34, 327.61 and 193.60

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Solution

The fourth proportional to 237.34, 327.61 and 193.60 is: 267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.34 : 327.61 = 193.60 : x
  2. Step 2: Convert to fraction form
    237.34/327.61 = 193.60/x
  3. Step 3: Cross multiply
    237.34x = 327.61 × 193.60
  4. Step 4: Simplify right side
    237.34x = 63,425.30
  5. Step 5: Solve for x
    x = 63,425.30/237.34
  6. Step 6: Final answer
    x = 267.23

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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.