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Finding the Fourth Proportional to 317.56, 476.38 and 144.20

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Solution

The fourth proportional to 317.56, 476.38 and 144.20 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.56 : 476.38 = 144.20 : x
  2. Step 2: Convert to fraction form
    317.56/476.38 = 144.20/x
  3. Step 3: Cross multiply
    317.56x = 476.38 × 144.20
  4. Step 4: Simplify right side
    317.56x = 68,694.00
  5. Step 5: Solve for x
    x = 68,694.00/317.56
  6. Step 6: Final answer
    x = 216.32

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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.