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Finding the Fourth Proportional to 183.23, 275.92 and 132.23

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Solution

The fourth proportional to 183.23, 275.92 and 132.23 is: 199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.23 : 275.92 = 132.23 : x
  2. Step 2: Convert to fraction form
    183.23/275.92 = 132.23/x
  3. Step 3: Cross multiply
    183.23x = 275.92 × 132.23
  4. Step 4: Simplify right side
    183.23x = 36,482.86
  5. Step 5: Solve for x
    x = 36,482.86/183.23
  6. Step 6: Final answer
    x = 199.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.