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Finding the Fourth Proportional to 316.95, 475.44 and 201.75

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Solution

The fourth proportional to 316.95, 475.44 and 201.75 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.95 : 475.44 = 201.75 : x
  2. Step 2: Convert to fraction form
    316.95/475.44 = 201.75/x
  3. Step 3: Cross multiply
    316.95x = 475.44 × 201.75
  4. Step 4: Simplify right side
    316.95x = 95,920.02
  5. Step 5: Solve for x
    x = 95,920.02/316.95
  6. Step 6: Final answer
    x = 302.63

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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.