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Finding the Fourth Proportional to 183.66, 252.68 and 150.84

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Solution

The fourth proportional to 183.66, 252.68 and 150.84 is: 207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 252.68 = 150.84 : x
  2. Step 2: Convert to fraction form
    183.66/252.68 = 150.84/x
  3. Step 3: Cross multiply
    183.66x = 252.68 × 150.84
  4. Step 4: Simplify right side
    183.66x = 38,114.25
  5. Step 5: Solve for x
    x = 38,114.25/183.66
  6. Step 6: Final answer
    x = 207.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.