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Finding the Fourth Proportional to 183.15, 274.19 and 114.46

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Solution

The fourth proportional to 183.15, 274.19 and 114.46 is: 171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.15 : 274.19 = 114.46 : x
  2. Step 2: Convert to fraction form
    183.15/274.19 = 114.46/x
  3. Step 3: Cross multiply
    183.15x = 274.19 × 114.46
  4. Step 4: Simplify right side
    183.15x = 31,382.53
  5. Step 5: Solve for x
    x = 31,382.53/183.15
  6. Step 6: Final answer
    x = 171.35

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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.