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Finding the Fourth Proportional to 182.92, 275.69 and 174.14

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Solution

The fourth proportional to 182.92, 275.69 and 174.14 is: 262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.92 : 275.69 = 174.14 : x
  2. Step 2: Convert to fraction form
    182.92/275.69 = 174.14/x
  3. Step 3: Cross multiply
    182.92x = 275.69 × 174.14
  4. Step 4: Simplify right side
    182.92x = 48,008.66
  5. Step 5: Solve for x
    x = 48,008.66/182.92
  6. Step 6: Final answer
    x = 262.46

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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.