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Finding the Fourth Proportional to 275.70, 380.47 and 165.16

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Solution

The fourth proportional to 275.70, 380.47 and 165.16 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 380.47 = 165.16 : x
  2. Step 2: Convert to fraction form
    275.70/380.47 = 165.16/x
  3. Step 3: Cross multiply
    275.70x = 380.47 × 165.16
  4. Step 4: Simplify right side
    275.70x = 62,838.43
  5. Step 5: Solve for x
    x = 62,838.43/275.70
  6. Step 6: Final answer
    x = 227.92

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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.