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Finding the Fourth Proportional to 275.71, 380.51 and 165.25

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Solution

The fourth proportional to 275.71, 380.51 and 165.25 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.71 : 380.51 = 165.25 : x
  2. Step 2: Convert to fraction form
    275.71/380.51 = 165.25/x
  3. Step 3: Cross multiply
    275.71x = 380.51 × 165.25
  4. Step 4: Simplify right side
    275.71x = 62,879.28
  5. Step 5: Solve for x
    x = 62,879.28/275.71
  6. Step 6: Final answer
    x = 228.06

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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.