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Finding the Fourth Proportional to 183.23, 274.71 and 101.96

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Solution

The fourth proportional to 183.23, 274.71 and 101.96 is: 152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.23 : 274.71 = 101.96 : x
  2. Step 2: Convert to fraction form
    183.23/274.71 = 101.96/x
  3. Step 3: Cross multiply
    183.23x = 274.71 × 101.96
  4. Step 4: Simplify right side
    183.23x = 28,008.90
  5. Step 5: Solve for x
    x = 28,008.90/183.23
  6. Step 6: Final answer
    x = 152.86

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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.