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Finding the Fourth Proportional to 313.83, 470.73 and 121.45

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Solution

The fourth proportional to 313.83, 470.73 and 121.45 is: 182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.83 : 470.73 = 121.45 : x
  2. Step 2: Convert to fraction form
    313.83/470.73 = 121.45/x
  3. Step 3: Cross multiply
    313.83x = 470.73 × 121.45
  4. Step 4: Simplify right side
    313.83x = 57,170.16
  5. Step 5: Solve for x
    x = 57,170.16/313.83
  6. Step 6: Final answer
    x = 182.17

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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.