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Finding the Fourth Proportional to 275.97, 380.84 and 151.63

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Solution

The fourth proportional to 275.97, 380.84 and 151.63 is: 209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 380.84 = 151.63 : x
  2. Step 2: Convert to fraction form
    275.97/380.84 = 151.63/x
  3. Step 3: Cross multiply
    275.97x = 380.84 × 151.63
  4. Step 4: Simplify right side
    275.97x = 57,744.87
  5. Step 5: Solve for x
    x = 57,744.87/275.97
  6. Step 6: Final answer
    x = 209.24

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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.