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Finding the Fourth Proportional to 183.25, 275.37 and 143.14

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Solution

The fourth proportional to 183.25, 275.37 and 143.14 is: 215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.25 : 275.37 = 143.14 : x
  2. Step 2: Convert to fraction form
    183.25/275.37 = 143.14/x
  3. Step 3: Cross multiply
    183.25x = 275.37 × 143.14
  4. Step 4: Simplify right side
    183.25x = 39,416.46
  5. Step 5: Solve for x
    x = 39,416.46/183.25
  6. Step 6: Final answer
    x = 215.10

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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.