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Finding the Fourth Proportional to 237.07, 354.00 and 193.82

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Solution

The fourth proportional to 237.07, 354.00 and 193.82 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.07 : 354.00 = 193.82 : x
  2. Step 2: Convert to fraction form
    237.07/354.00 = 193.82/x
  3. Step 3: Cross multiply
    237.07x = 354.00 × 193.82
  4. Step 4: Simplify right side
    237.07x = 68,609.54
  5. Step 5: Solve for x
    x = 68,609.54/237.07
  6. Step 6: Final answer
    x = 289.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.