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Finding the Fourth Proportional to 183.88, 253.74 and 105.22

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Solution

The fourth proportional to 183.88, 253.74 and 105.22 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 253.74 = 105.22 : x
  2. Step 2: Convert to fraction form
    183.88/253.74 = 105.22/x
  3. Step 3: Cross multiply
    183.88x = 253.74 × 105.22
  4. Step 4: Simplify right side
    183.88x = 26,698.52
  5. Step 5: Solve for x
    x = 26,698.52/183.88
  6. Step 6: Final answer
    x = 145.20

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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.