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Finding the Fourth Proportional to 314.38, 471.71 and 198.69

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Solution

The fourth proportional to 314.38, 471.71 and 198.69 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 471.71 = 198.69 : x
  2. Step 2: Convert to fraction form
    314.38/471.71 = 198.69/x
  3. Step 3: Cross multiply
    314.38x = 471.71 × 198.69
  4. Step 4: Simplify right side
    314.38x = 93,724.06
  5. Step 5: Solve for x
    x = 93,724.06/314.38
  6. Step 6: Final answer
    x = 298.12

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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.