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Finding the Fourth Proportional to 312.55, 468.66 and 182.60

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Solution

The fourth proportional to 312.55, 468.66 and 182.60 is: 273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.55 : 468.66 = 182.60 : x
  2. Step 2: Convert to fraction form
    312.55/468.66 = 182.60/x
  3. Step 3: Cross multiply
    312.55x = 468.66 × 182.60
  4. Step 4: Simplify right side
    312.55x = 85,574.97
  5. Step 5: Solve for x
    x = 85,574.97/312.55
  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.