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Finding the Fourth Proportional to 183.24, 252.86 and 117.77

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Solution

The fourth proportional to 183.24, 252.86 and 117.77 is: 162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 252.86 = 117.77 : x
  2. Step 2: Convert to fraction form
    183.24/252.86 = 117.77/x
  3. Step 3: Cross multiply
    183.24x = 252.86 × 117.77
  4. Step 4: Simplify right side
    183.24x = 29,777.47
  5. Step 5: Solve for x
    x = 29,777.47/183.24
  6. Step 6: Final answer
    x = 162.51

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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.