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Finding the Fourth Proportional to 183.45, 275.16 and 96.83

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Solution

The fourth proportional to 183.45, 275.16 and 96.83 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.45 : 275.16 = 96.83 : x
  2. Step 2: Convert to fraction form
    183.45/275.16 = 96.83/x
  3. Step 3: Cross multiply
    183.45x = 275.16 × 96.83
  4. Step 4: Simplify right side
    183.45x = 26,642.37
  5. Step 5: Solve for x
    x = 26,642.37/183.45
  6. Step 6: Final answer
    x = 145.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.