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Finding the Fourth Proportional to 314.24, 470.89 and 131.38

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Solution

The fourth proportional to 314.24, 470.89 and 131.38 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 470.89 = 131.38 : x
  2. Step 2: Convert to fraction form
    314.24/470.89 = 131.38/x
  3. Step 3: Cross multiply
    314.24x = 470.89 × 131.38
  4. Step 4: Simplify right side
    314.24x = 61,865.53
  5. Step 5: Solve for x
    x = 61,865.53/314.24
  6. Step 6: Final answer
    x = 196.87

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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.