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Finding the Fourth Proportional to 183.60, 251.82 and 175.14

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Solution

The fourth proportional to 183.60, 251.82 and 175.14 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 251.82 = 175.14 : x
  2. Step 2: Convert to fraction form
    183.60/251.82 = 175.14/x
  3. Step 3: Cross multiply
    183.60x = 251.82 × 175.14
  4. Step 4: Simplify right side
    183.60x = 44,103.75
  5. Step 5: Solve for x
    x = 44,103.75/183.60
  6. Step 6: Final answer
    x = 240.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.