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Finding the Fourth Proportional to 317.56, 476.46 and 185.70

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Solution

The fourth proportional to 317.56, 476.46 and 185.70 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.56 : 476.46 = 185.70 : x
  2. Step 2: Convert to fraction form
    317.56/476.46 = 185.70/x
  3. Step 3: Cross multiply
    317.56x = 476.46 × 185.70
  4. Step 4: Simplify right side
    317.56x = 88,478.62
  5. Step 5: Solve for x
    x = 88,478.62/317.56
  6. Step 6: Final answer
    x = 278.62

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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.