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Finding the Fourth Proportional to 183.97, 275.97 and 102.77

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Solution

The fourth proportional to 183.97, 275.97 and 102.77 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.97 : 275.97 = 102.77 : x
  2. Step 2: Convert to fraction form
    183.97/275.97 = 102.77/x
  3. Step 3: Cross multiply
    183.97x = 275.97 × 102.77
  4. Step 4: Simplify right side
    183.97x = 28,361.48
  5. Step 5: Solve for x
    x = 28,361.48/183.97
  6. Step 6: Final answer
    x = 154.16

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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.