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Finding the Fourth Proportional to 183.22, 274.35 and 101.65

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Solution

The fourth proportional to 183.22, 274.35 and 101.65 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.22 : 274.35 = 101.65 : x
  2. Step 2: Convert to fraction form
    183.22/274.35 = 101.65/x
  3. Step 3: Cross multiply
    183.22x = 274.35 × 101.65
  4. Step 4: Simplify right side
    183.22x = 27,887.68
  5. Step 5: Solve for x
    x = 27,887.68/183.22
  6. Step 6: Final answer
    x = 152.21

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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.