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Finding the Fourth Proportional to 182.46, 275.22 and 174.90

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Solution

The fourth proportional to 182.46, 275.22 and 174.90 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.46 : 275.22 = 174.90 : x
  2. Step 2: Convert to fraction form
    182.46/275.22 = 174.90/x
  3. Step 3: Cross multiply
    182.46x = 275.22 × 174.90
  4. Step 4: Simplify right side
    182.46x = 48,135.98
  5. Step 5: Solve for x
    x = 48,135.98/182.46
  6. Step 6: Final answer
    x = 263.82

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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.