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Finding the Fourth Proportional to 237.83, 328.21 and 132.92

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Solution

The fourth proportional to 237.83, 328.21 and 132.92 is: 183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.83 : 328.21 = 132.92 : x
  2. Step 2: Convert to fraction form
    237.83/328.21 = 132.92/x
  3. Step 3: Cross multiply
    237.83x = 328.21 × 132.92
  4. Step 4: Simplify right side
    237.83x = 43,625.06
  5. Step 5: Solve for x
    x = 43,625.06/237.83
  6. Step 6: Final answer
    x = 183.43

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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.