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Finding the Fourth Proportional to 317.58, 476.25 and 163.59

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Solution

The fourth proportional to 317.58, 476.25 and 163.59 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.58 : 476.25 = 163.59 : x
  2. Step 2: Convert to fraction form
    317.58/476.25 = 163.59/x
  3. Step 3: Cross multiply
    317.58x = 476.25 × 163.59
  4. Step 4: Simplify right side
    317.58x = 77,909.74
  5. Step 5: Solve for x
    x = 77,909.74/317.58
  6. Step 6: Final answer
    x = 245.32

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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.