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Finding the Fourth Proportional to 183.24, 252.60 and 117.72

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Solution

The fourth proportional to 183.24, 252.60 and 117.72 is: 162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 252.60 = 117.72 : x
  2. Step 2: Convert to fraction form
    183.24/252.60 = 117.72/x
  3. Step 3: Cross multiply
    183.24x = 252.60 × 117.72
  4. Step 4: Simplify right side
    183.24x = 29,736.07
  5. Step 5: Solve for x
    x = 29,736.07/183.24
  6. Step 6: Final answer
    x = 162.28

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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.