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Finding the Fourth Proportional to 183.07, 252.28 and 117.46

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Solution

The fourth proportional to 183.07, 252.28 and 117.46 is: 161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.07 : 252.28 = 117.46 : x
  2. Step 2: Convert to fraction form
    183.07/252.28 = 117.46/x
  3. Step 3: Cross multiply
    183.07x = 252.28 × 117.46
  4. Step 4: Simplify right side
    183.07x = 29,630.96
  5. Step 5: Solve for x
    x = 29,630.96/183.07
  6. Step 6: Final answer
    x = 161.86

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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.