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Finding the Fourth Proportional to 183.50, 253.22 and 109.79

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Solution

The fourth proportional to 183.50, 253.22 and 109.79 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 253.22 = 109.79 : x
  2. Step 2: Convert to fraction form
    183.50/253.22 = 109.79/x
  3. Step 3: Cross multiply
    183.50x = 253.22 × 109.79
  4. Step 4: Simplify right side
    183.50x = 27,801.02
  5. Step 5: Solve for x
    x = 27,801.02/183.50
  6. Step 6: Final answer
    x = 151.50

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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.