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Finding the Fourth Proportional to 312.60, 468.76 and 182.58

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Solution

The fourth proportional to 312.60, 468.76 and 182.58 is: 273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 468.76 = 182.58 : x
  2. Step 2: Convert to fraction form
    312.60/468.76 = 182.58/x
  3. Step 3: Cross multiply
    312.60x = 468.76 × 182.58
  4. Step 4: Simplify right side
    312.60x = 85,586.20
  5. Step 5: Solve for x
    x = 85,586.20/312.60
  6. Step 6: Final answer
    x = 273.79

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