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Finding the Fourth Proportional to 183.00, 274.50 and 74.76

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Solution

The fourth proportional to 183.00, 274.50 and 74.76 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.00 : 274.50 = 74.76 : x
  2. Step 2: Convert to fraction form
    183.00/274.50 = 74.76/x
  3. Step 3: Cross multiply
    183.00x = 274.50 × 74.76
  4. Step 4: Simplify right side
    183.00x = 20,520.25
  5. Step 5: Solve for x
    x = 20,520.25/183.00
  6. Step 6: Final answer
    x = 112.14

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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.