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Finding the Fourth Proportional to 313.69, 470.20 and 118.60

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Solution

The fourth proportional to 313.69, 470.20 and 118.60 is: 177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.69 : 470.20 = 118.60 : x
  2. Step 2: Convert to fraction form
    313.69/470.20 = 118.60/x
  3. Step 3: Cross multiply
    313.69x = 470.20 × 118.60
  4. Step 4: Simplify right side
    313.69x = 55,765.72
  5. Step 5: Solve for x
    x = 55,765.72/313.69
  6. Step 6: Final answer
    x = 177.77

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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.