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Finding the Fourth Proportional to 183.75, 253.44 and 113.78

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Solution

The fourth proportional to 183.75, 253.44 and 113.78 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 253.44 = 113.78 : x
  2. Step 2: Convert to fraction form
    183.75/253.44 = 113.78/x
  3. Step 3: Cross multiply
    183.75x = 253.44 × 113.78
  4. Step 4: Simplify right side
    183.75x = 28,835.14
  5. Step 5: Solve for x
    x = 28,835.14/183.75
  6. Step 6: Final answer
    x = 156.93

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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.