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Finding the Fourth Proportional to 317.28, 475.06 and 180.12

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Solution

The fourth proportional to 317.28, 475.06 and 180.12 is: 269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 475.06 = 180.12 : x
  2. Step 2: Convert to fraction form
    317.28/475.06 = 180.12/x
  3. Step 3: Cross multiply
    317.28x = 475.06 × 180.12
  4. Step 4: Simplify right side
    317.28x = 85,567.81
  5. Step 5: Solve for x
    x = 85,567.81/317.28
  6. Step 6: Final answer
    x = 269.69

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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.