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Finding the Fourth Proportional to 313.75, 470.76 and 121.51

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Solution

The fourth proportional to 313.75, 470.76 and 121.51 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 470.76 = 121.51 : x
  2. Step 2: Convert to fraction form
    313.75/470.76 = 121.51/x
  3. Step 3: Cross multiply
    313.75x = 470.76 × 121.51
  4. Step 4: Simplify right side
    313.75x = 57,202.05
  5. Step 5: Solve for x
    x = 57,202.05/313.75
  6. Step 6: Final answer
    x = 182.32

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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.