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Finding the Fourth Proportional to 317.50, 476.04 and 180.61

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Solution

The fourth proportional to 317.50, 476.04 and 180.61 is: 270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.50 : 476.04 = 180.61 : x
  2. Step 2: Convert to fraction form
    317.50/476.04 = 180.61/x
  3. Step 3: Cross multiply
    317.50x = 476.04 × 180.61
  4. Step 4: Simplify right side
    317.50x = 85,977.58
  5. Step 5: Solve for x
    x = 85,977.58/317.50
  6. Step 6: Final answer
    x = 270.80

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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.