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Finding the Fourth Proportional to 183.56, 253.37 and 113.67

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Solution

The fourth proportional to 183.56, 253.37 and 113.67 is: 156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.56 : 253.37 = 113.67 : x
  2. Step 2: Convert to fraction form
    183.56/253.37 = 113.67/x
  3. Step 3: Cross multiply
    183.56x = 253.37 × 113.67
  4. Step 4: Simplify right side
    183.56x = 28,800.85
  5. Step 5: Solve for x
    x = 28,800.85/183.56
  6. Step 6: Final answer
    x = 156.91

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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.