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Finding the Fourth Proportional to 313.91, 470.85 and 97.49

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Solution

The fourth proportional to 313.91, 470.85 and 97.49 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.91 : 470.85 = 97.49 : x
  2. Step 2: Convert to fraction form
    313.91/470.85 = 97.49/x
  3. Step 3: Cross multiply
    313.91x = 470.85 × 97.49
  4. Step 4: Simplify right side
    313.91x = 45,900.81
  5. Step 5: Solve for x
    x = 45,900.81/313.91
  6. Step 6: Final answer
    x = 146.23

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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.