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Finding the Fourth Proportional to 184.08, 274.20 and 164.64

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Solution

The fourth proportional to 184.08, 274.20 and 164.64 is: 245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.08 : 274.20 = 164.64 : x
  2. Step 2: Convert to fraction form
    184.08/274.20 = 164.64/x
  3. Step 3: Cross multiply
    184.08x = 274.20 × 164.64
  4. Step 4: Simplify right side
    184.08x = 45,144.29
  5. Step 5: Solve for x
    x = 45,144.29/184.08
  6. Step 6: Final answer
    x = 245.24

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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.