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Finding the Fourth Proportional to 314.40, 470.92 and 131.56

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Solution

The fourth proportional to 314.40, 470.92 and 131.56 is: 197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 470.92 = 131.56 : x
  2. Step 2: Convert to fraction form
    314.40/470.92 = 131.56/x
  3. Step 3: Cross multiply
    314.40x = 470.92 × 131.56
  4. Step 4: Simplify right side
    314.40x = 61,954.24
  5. Step 5: Solve for x
    x = 61,954.24/314.40
  6. Step 6: Final answer
    x = 197.06

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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.