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Finding the Fourth Proportional to 314.85, 472.16 and 199.27

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Solution

The fourth proportional to 314.85, 472.16 and 199.27 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.85 : 472.16 = 199.27 : x
  2. Step 2: Convert to fraction form
    314.85/472.16 = 199.27/x
  3. Step 3: Cross multiply
    314.85x = 472.16 × 199.27
  4. Step 4: Simplify right side
    314.85x = 94,087.32
  5. Step 5: Solve for x
    x = 94,087.32/314.85
  6. Step 6: Final answer
    x = 298.83

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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.