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Finding the Fourth Proportional to 317.35, 476.23 and 180.50

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Solution

The fourth proportional to 317.35, 476.23 and 180.50 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.35 : 476.23 = 180.50 : x
  2. Step 2: Convert to fraction form
    317.35/476.23 = 180.50/x
  3. Step 3: Cross multiply
    317.35x = 476.23 × 180.50
  4. Step 4: Simplify right side
    317.35x = 85,957.02
  5. Step 5: Solve for x
    x = 85,957.02/317.35
  6. Step 6: Final answer
    x = 270.86

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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.