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Finding the Fourth Proportional to 183.21, 275.06 and 114.53

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Solution

The fourth proportional to 183.21, 275.06 and 114.53 is: 171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.21 : 275.06 = 114.53 : x
  2. Step 2: Convert to fraction form
    183.21/275.06 = 114.53/x
  3. Step 3: Cross multiply
    183.21x = 275.06 × 114.53
  4. Step 4: Simplify right side
    183.21x = 31,502.62
  5. Step 5: Solve for x
    x = 31,502.62/183.21
  6. Step 6: Final answer
    x = 171.95

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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.