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Finding the Fourth Proportional to 183.24, 252.72 and 128.16

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Solution

The fourth proportional to 183.24, 252.72 and 128.16 is: 176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 252.72 = 128.16 : x
  2. Step 2: Convert to fraction form
    183.24/252.72 = 128.16/x
  3. Step 3: Cross multiply
    183.24x = 252.72 × 128.16
  4. Step 4: Simplify right side
    183.24x = 32,388.60
  5. Step 5: Solve for x
    x = 32,388.60/183.24
  6. Step 6: Final answer
    x = 176.76

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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.