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Finding the Fourth Proportional to 313.96, 470.93 and 97.48

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Solution

The fourth proportional to 313.96, 470.93 and 97.48 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 470.93 = 97.48 : x
  2. Step 2: Convert to fraction form
    313.96/470.93 = 97.48/x
  3. Step 3: Cross multiply
    313.96x = 470.93 × 97.48
  4. Step 4: Simplify right side
    313.96x = 45,906.26
  5. Step 5: Solve for x
    x = 45,906.26/313.96
  6. Step 6: Final answer
    x = 146.22

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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.