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Finding the Fourth Proportional to 317.16, 475.22 and 208.76

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Solution

The fourth proportional to 317.16, 475.22 and 208.76 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.16 : 475.22 = 208.76 : x
  2. Step 2: Convert to fraction form
    317.16/475.22 = 208.76/x
  3. Step 3: Cross multiply
    317.16x = 475.22 × 208.76
  4. Step 4: Simplify right side
    317.16x = 99,206.93
  5. Step 5: Solve for x
    x = 99,206.93/317.16
  6. Step 6: Final answer
    x = 312.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.