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Finding the Fourth Proportional to 314.73, 471.17 and 198.82

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Solution

The fourth proportional to 314.73, 471.17 and 198.82 is: 297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.73 : 471.17 = 198.82 : x
  2. Step 2: Convert to fraction form
    314.73/471.17 = 198.82/x
  3. Step 3: Cross multiply
    314.73x = 471.17 × 198.82
  4. Step 4: Simplify right side
    314.73x = 93,678.02
  5. Step 5: Solve for x
    x = 93,678.02/314.73
  6. Step 6: Final answer
    x = 297.65

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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.