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Finding the Fourth Proportional to 317.40, 475.60 and 195.45

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Solution

The fourth proportional to 317.40, 475.60 and 195.45 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 475.60 = 195.45 : x
  2. Step 2: Convert to fraction form
    317.40/475.60 = 195.45/x
  3. Step 3: Cross multiply
    317.40x = 475.60 × 195.45
  4. Step 4: Simplify right side
    317.40x = 92,956.02
  5. Step 5: Solve for x
    x = 92,956.02/317.40
  6. Step 6: Final answer
    x = 292.87

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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.