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Finding the Fourth Proportional to 275.42, 380.08 and 164.90

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Solution

The fourth proportional to 275.42, 380.08 and 164.90 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 380.08 = 164.90 : x
  2. Step 2: Convert to fraction form
    275.42/380.08 = 164.90/x
  3. Step 3: Cross multiply
    275.42x = 380.08 × 164.90
  4. Step 4: Simplify right side
    275.42x = 62,674.21
  5. Step 5: Solve for x
    x = 62,674.21/275.42
  6. Step 6: Final answer
    x = 227.56

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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.