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Finding the Fourth Proportional to 314.25, 471.51 and 151.85

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Solution

The fourth proportional to 314.25, 471.51 and 151.85 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 471.51 = 151.85 : x
  2. Step 2: Convert to fraction form
    314.25/471.51 = 151.85/x
  3. Step 3: Cross multiply
    314.25x = 471.51 × 151.85
  4. Step 4: Simplify right side
    314.25x = 71,596.44
  5. Step 5: Solve for x
    x = 71,596.44/314.25
  6. Step 6: Final answer
    x = 227.83

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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.