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Finding the Fourth Proportional to 184.14, 274.60 and 171.84

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Solution

The fourth proportional to 184.14, 274.60 and 171.84 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.14 : 274.60 = 171.84 : x
  2. Step 2: Convert to fraction form
    184.14/274.60 = 171.84/x
  3. Step 3: Cross multiply
    184.14x = 274.60 × 171.84
  4. Step 4: Simplify right side
    184.14x = 47,187.26
  5. Step 5: Solve for x
    x = 47,187.26/184.14
  6. Step 6: Final answer
    x = 256.26

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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.