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Finding the Fourth Proportional to 275.20, 379.70 and 164.64

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Solution

The fourth proportional to 275.20, 379.70 and 164.64 is: 227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 379.70 = 164.64 : x
  2. Step 2: Convert to fraction form
    275.20/379.70 = 164.64/x
  3. Step 3: Cross multiply
    275.20x = 379.70 × 164.64
  4. Step 4: Simplify right side
    275.20x = 62,513.81
  5. Step 5: Solve for x
    x = 62,513.81/275.20
  6. Step 6: Final answer
    x = 227.16

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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.