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Finding the Fourth Proportional to 183.66, 253.14 and 133.23

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Solution

The fourth proportional to 183.66, 253.14 and 133.23 is: 183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 253.14 = 133.23 : x
  2. Step 2: Convert to fraction form
    183.66/253.14 = 133.23/x
  3. Step 3: Cross multiply
    183.66x = 253.14 × 133.23
  4. Step 4: Simplify right side
    183.66x = 33,725.84
  5. Step 5: Solve for x
    x = 33,725.84/183.66
  6. Step 6: Final answer
    x = 183.63

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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.