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Finding the Fourth Proportional to 183.13, 253.13 and 165.71

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Solution

The fourth proportional to 183.13, 253.13 and 165.71 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.13 : 253.13 = 165.71 : x
  2. Step 2: Convert to fraction form
    183.13/253.13 = 165.71/x
  3. Step 3: Cross multiply
    183.13x = 253.13 × 165.71
  4. Step 4: Simplify right side
    183.13x = 41,945.98
  5. Step 5: Solve for x
    x = 41,945.98/183.13
  6. Step 6: Final answer
    x = 229.05

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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.