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Finding the Fourth Proportional to 263.10, 394.88 and 182

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Solution

The fourth proportional to 263.10, 394.88 and 182 is: 273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.10 : 394.88 = 182 : x
  2. Step 2: Convert to fraction form
    263.10/394.88 = 182/x
  3. Step 3: Cross multiply
    263.10x = 394.88 × 182
  4. Step 4: Simplify right side
    263.10x = 71,868.16
  5. Step 5: Solve for x
    x = 71,868.16/263.10
  6. Step 6: Final answer
    x = 273.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.