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Finding the Fourth Proportional to 182.97, 275.84 and 171.23

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Solution

The fourth proportional to 182.97, 275.84 and 171.23 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.97 : 275.84 = 171.23 : x
  2. Step 2: Convert to fraction form
    182.97/275.84 = 171.23/x
  3. Step 3: Cross multiply
    182.97x = 275.84 × 171.23
  4. Step 4: Simplify right side
    182.97x = 47,232.08
  5. Step 5: Solve for x
    x = 47,232.08/182.97
  6. Step 6: Final answer
    x = 258.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.