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Finding the Fourth Proportional to 313.27, 470.00 and 118.33

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Solution

The fourth proportional to 313.27, 470.00 and 118.33 is: 177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.27 : 470.00 = 118.33 : x
  2. Step 2: Convert to fraction form
    313.27/470.00 = 118.33/x
  3. Step 3: Cross multiply
    313.27x = 470.00 × 118.33
  4. Step 4: Simplify right side
    313.27x = 55,614.22
  5. Step 5: Solve for x
    x = 55,614.22/313.27
  6. Step 6: Final answer
    x = 177.53

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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.