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Finding the Fourth Proportional to 183.34, 253.22 and 165.85

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Solution

The fourth proportional to 183.34, 253.22 and 165.85 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.34 : 253.22 = 165.85 : x
  2. Step 2: Convert to fraction form
    183.34/253.22 = 165.85/x
  3. Step 3: Cross multiply
    183.34x = 253.22 × 165.85
  4. Step 4: Simplify right side
    183.34x = 41,994.44
  5. Step 5: Solve for x
    x = 41,994.44/183.34
  6. Step 6: Final answer
    x = 229.06

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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.