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Finding the Fourth Proportional to 183.89, 253.86 and 142.65

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Solution

The fourth proportional to 183.89, 253.86 and 142.65 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.89 : 253.86 = 142.65 : x
  2. Step 2: Convert to fraction form
    183.89/253.86 = 142.65/x
  3. Step 3: Cross multiply
    183.89x = 253.86 × 142.65
  4. Step 4: Simplify right side
    183.89x = 36,213.13
  5. Step 5: Solve for x
    x = 36,213.13/183.89
  6. Step 6: Final answer
    x = 196.93

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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.