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Finding the Fourth Proportional to 183.75, 275.81 and 98.43

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Solution

The fourth proportional to 183.75, 275.81 and 98.43 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 275.81 = 98.43 : x
  2. Step 2: Convert to fraction form
    183.75/275.81 = 98.43/x
  3. Step 3: Cross multiply
    183.75x = 275.81 × 98.43
  4. Step 4: Simplify right side
    183.75x = 27,147.49
  5. Step 5: Solve for x
    x = 27,147.49/183.75
  6. Step 6: Final answer
    x = 147.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.