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Finding the Fourth Proportional to 314.54, 470.89 and 199.12

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Solution

The fourth proportional to 314.54, 470.89 and 199.12 is: 298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 470.89 = 199.12 : x
  2. Step 2: Convert to fraction form
    314.54/470.89 = 199.12/x
  3. Step 3: Cross multiply
    314.54x = 470.89 × 199.12
  4. Step 4: Simplify right side
    314.54x = 93,761.94
  5. Step 5: Solve for x
    x = 93,761.94/314.54
  6. Step 6: Final answer
    x = 298.09

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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.