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Finding the Fourth Proportional to 275.45, 380.24 and 164.90

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Solution

The fourth proportional to 275.45, 380.24 and 164.90 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.45 : 380.24 = 164.90 : x
  2. Step 2: Convert to fraction form
    275.45/380.24 = 164.90/x
  3. Step 3: Cross multiply
    275.45x = 380.24 × 164.90
  4. Step 4: Simplify right side
    275.45x = 62,701.32
  5. Step 5: Solve for x
    x = 62,701.32/275.45
  6. Step 6: Final answer
    x = 227.64

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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.