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Finding the Fourth Proportional to 183.70, 275.01 and 135.82

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Solution

The fourth proportional to 183.70, 275.01 and 135.82 is: 203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.70 : 275.01 = 135.82 : x
  2. Step 2: Convert to fraction form
    183.70/275.01 = 135.82/x
  3. Step 3: Cross multiply
    183.70x = 275.01 × 135.82
  4. Step 4: Simplify right side
    183.70x = 37,351.86
  5. Step 5: Solve for x
    x = 37,351.86/183.70
  6. Step 6: Final answer
    x = 203.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.