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Finding the Fourth Proportional to 275.87, 380.76 and 165.37

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Solution

The fourth proportional to 275.87, 380.76 and 165.37 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.87 : 380.76 = 165.37 : x
  2. Step 2: Convert to fraction form
    275.87/380.76 = 165.37/x
  3. Step 3: Cross multiply
    275.87x = 380.76 × 165.37
  4. Step 4: Simplify right side
    275.87x = 62,966.28
  5. Step 5: Solve for x
    x = 62,966.28/275.87
  6. Step 6: Final answer
    x = 228.25

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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.