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Finding the Fourth Proportional to 317.82, 476.86 and 173.50

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Solution

The fourth proportional to 317.82, 476.86 and 173.50 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.82 : 476.86 = 173.50 : x
  2. Step 2: Convert to fraction form
    317.82/476.86 = 173.50/x
  3. Step 3: Cross multiply
    317.82x = 476.86 × 173.50
  4. Step 4: Simplify right side
    317.82x = 82,735.21
  5. Step 5: Solve for x
    x = 82,735.21/317.82
  6. Step 6: Final answer
    x = 260.32

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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.