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Finding the Fourth Proportional to 183.01, 252 and 165.65

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Solution

The fourth proportional to 183.01, 252 and 165.65 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.01 : 252 = 165.65 : x
  2. Step 2: Convert to fraction form
    183.01/252 = 165.65/x
  3. Step 3: Cross multiply
    183.01x = 252 × 165.65
  4. Step 4: Simplify right side
    183.01x = 41,743.80
  5. Step 5: Solve for x
    x = 41,743.80/183.01
  6. Step 6: Final answer
    x = 228.10

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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.