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Finding the Fourth Proportional to 275.74, 380.52 and 165.31

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Solution

The fourth proportional to 275.74, 380.52 and 165.31 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.74 : 380.52 = 165.31 : x
  2. Step 2: Convert to fraction form
    275.74/380.52 = 165.31/x
  3. Step 3: Cross multiply
    275.74x = 380.52 × 165.31
  4. Step 4: Simplify right side
    275.74x = 62,903.76
  5. Step 5: Solve for x
    x = 62,903.76/275.74
  6. Step 6: Final answer
    x = 228.13

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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.