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Finding the Fourth Proportional to 314, 470.89 and 131.34

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Solution

The fourth proportional to 314, 470.89 and 131.34 is: 196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 470.89 = 131.34 : x
  2. Step 2: Convert to fraction form
    314/470.89 = 131.34/x
  3. Step 3: Cross multiply
    314x = 470.89 × 131.34
  4. Step 4: Simplify right side
    314x = 61,846.69
  5. Step 5: Solve for x
    x = 61,846.69/314
  6. Step 6: Final answer
    x = 196.96

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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.