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Finding the Fourth Proportional to 183.81, 253.67 and 106.19

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Solution

The fourth proportional to 183.81, 253.67 and 106.19 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 253.67 = 106.19 : x
  2. Step 2: Convert to fraction form
    183.81/253.67 = 106.19/x
  3. Step 3: Cross multiply
    183.81x = 253.67 × 106.19
  4. Step 4: Simplify right side
    183.81x = 26,937.22
  5. Step 5: Solve for x
    x = 26,937.22/183.81
  6. Step 6: Final answer
    x = 146.55

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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.