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Finding the Fourth Proportional to 183.44, 253.16 and 113.52

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Solution

The fourth proportional to 183.44, 253.16 and 113.52 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.44 : 253.16 = 113.52 : x
  2. Step 2: Convert to fraction form
    183.44/253.16 = 113.52/x
  3. Step 3: Cross multiply
    183.44x = 253.16 × 113.52
  4. Step 4: Simplify right side
    183.44x = 28,738.72
  5. Step 5: Solve for x
    x = 28,738.72/183.44
  6. Step 6: Final answer
    x = 156.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.