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Finding the Fourth Proportional to 313.76, 470.37 and 183.44

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Solution

The fourth proportional to 313.76, 470.37 and 183.44 is: 275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 470.37 = 183.44 : x
  2. Step 2: Convert to fraction form
    313.76/470.37 = 183.44/x
  3. Step 3: Cross multiply
    313.76x = 470.37 × 183.44
  4. Step 4: Simplify right side
    313.76x = 86,286.54
  5. Step 5: Solve for x
    x = 86,286.54/313.76
  6. Step 6: Final answer
    x = 275.01

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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.