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Finding the Fourth Proportional to 183.02, 274.71 and 105.98

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Solution

The fourth proportional to 183.02, 274.71 and 105.98 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 274.71 = 105.98 : x
  2. Step 2: Convert to fraction form
    183.02/274.71 = 105.98/x
  3. Step 3: Cross multiply
    183.02x = 274.71 × 105.98
  4. Step 4: Simplify right side
    183.02x = 29,113.77
  5. Step 5: Solve for x
    x = 29,113.77/183.02
  6. Step 6: Final answer
    x = 159.07

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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.