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Finding the Fourth Proportional to 314.45, 471.74 and 131.85

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Solution

The fourth proportional to 314.45, 471.74 and 131.85 is: 197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.45 : 471.74 = 131.85 : x
  2. Step 2: Convert to fraction form
    314.45/471.74 = 131.85/x
  3. Step 3: Cross multiply
    314.45x = 471.74 × 131.85
  4. Step 4: Simplify right side
    314.45x = 62,196.56
  5. Step 5: Solve for x
    x = 62,196.56/314.45
  6. Step 6: Final answer
    x = 197.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.