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Finding the Fourth Proportional to 184.10, 274.81 and 170.75

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Solution

The fourth proportional to 184.10, 274.81 and 170.75 is: 254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.10 : 274.81 = 170.75 : x
  2. Step 2: Convert to fraction form
    184.10/274.81 = 170.75/x
  3. Step 3: Cross multiply
    184.10x = 274.81 × 170.75
  4. Step 4: Simplify right side
    184.10x = 46,923.81
  5. Step 5: Solve for x
    x = 46,923.81/184.10
  6. Step 6: Final answer
    x = 254.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.