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Finding the Fourth Proportional to 183.82, 253.66 and 110.09

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Solution

The fourth proportional to 183.82, 253.66 and 110.09 is: 151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.82 : 253.66 = 110.09 : x
  2. Step 2: Convert to fraction form
    183.82/253.66 = 110.09/x
  3. Step 3: Cross multiply
    183.82x = 253.66 × 110.09
  4. Step 4: Simplify right side
    183.82x = 27,925.99
  5. Step 5: Solve for x
    x = 27,925.99/183.82
  6. Step 6: Final answer
    x = 151.92

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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.