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Finding the Fourth Proportional to 312.54, 469 and 182.46

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Solution

The fourth proportional to 312.54, 469 and 182.46 is: 273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.54 : 469 = 182.46 : x
  2. Step 2: Convert to fraction form
    312.54/469 = 182.46/x
  3. Step 3: Cross multiply
    312.54x = 469 × 182.46
  4. Step 4: Simplify right side
    312.54x = 85,573.74
  5. Step 5: Solve for x
    x = 85,573.74/312.54
  6. Step 6: Final answer
    x = 273.80

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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.