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Finding the Fourth Proportional to 237.40, 327.65 and 148.94

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Solution

The fourth proportional to 237.40, 327.65 and 148.94 is: 205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.40 : 327.65 = 148.94 : x
  2. Step 2: Convert to fraction form
    237.40/327.65 = 148.94/x
  3. Step 3: Cross multiply
    237.40x = 327.65 × 148.94
  4. Step 4: Simplify right side
    237.40x = 48,799.04
  5. Step 5: Solve for x
    x = 48,799.04/237.40
  6. Step 6: Final answer
    x = 205.56

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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.