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Finding the Fourth Proportional to 183.75, 253.67 and 132.09

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Solution

The fourth proportional to 183.75, 253.67 and 132.09 is: 182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 253.67 = 132.09 : x
  2. Step 2: Convert to fraction form
    183.75/253.67 = 132.09/x
  3. Step 3: Cross multiply
    183.75x = 253.67 × 132.09
  4. Step 4: Simplify right side
    183.75x = 33,506.61
  5. Step 5: Solve for x
    x = 33,506.61/183.75
  6. Step 6: Final answer
    x = 182.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.