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Finding the Fourth Proportional to 317.13, 475.80 and 172.75

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Solution

The fourth proportional to 317.13, 475.80 and 172.75 is: 259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.13 : 475.80 = 172.75 : x
  2. Step 2: Convert to fraction form
    317.13/475.80 = 172.75/x
  3. Step 3: Cross multiply
    317.13x = 475.80 × 172.75
  4. Step 4: Simplify right side
    317.13x = 82,194.45
  5. Step 5: Solve for x
    x = 82,194.45/317.13
  6. Step 6: Final answer
    x = 259.18

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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.