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Finding the Fourth Proportional to 183.16, 252.84 and 109.46

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Solution

The fourth proportional to 183.16, 252.84 and 109.46 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.16 : 252.84 = 109.46 : x
  2. Step 2: Convert to fraction form
    183.16/252.84 = 109.46/x
  3. Step 3: Cross multiply
    183.16x = 252.84 × 109.46
  4. Step 4: Simplify right side
    183.16x = 27,675.32
  5. Step 5: Solve for x
    x = 27,675.32/183.16
  6. Step 6: Final answer
    x = 151.10

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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.