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Finding the Fourth Proportional to 317.35, 475.62 and 144.01

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Solution

The fourth proportional to 317.35, 475.62 and 144.01 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.35 : 475.62 = 144.01 : x
  2. Step 2: Convert to fraction form
    317.35/475.62 = 144.01/x
  3. Step 3: Cross multiply
    317.35x = 475.62 × 144.01
  4. Step 4: Simplify right side
    317.35x = 68,494.04
  5. Step 5: Solve for x
    x = 68,494.04/317.35
  6. Step 6: Final answer
    x = 215.83

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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.