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Finding the Fourth Proportional to 183.31, 252.98 and 105.69

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Solution

The fourth proportional to 183.31, 252.98 and 105.69 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.31 : 252.98 = 105.69 : x
  2. Step 2: Convert to fraction form
    183.31/252.98 = 105.69/x
  3. Step 3: Cross multiply
    183.31x = 252.98 × 105.69
  4. Step 4: Simplify right side
    183.31x = 26,737.46
  5. Step 5: Solve for x
    x = 26,737.46/183.31
  6. Step 6: Final answer
    x = 145.86

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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.